Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 17

Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov...

41A25 | 41A36 | Ditzian–Totik modulus of smoothness | 40A35 | Bounded variation | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 26A15 | Rate of convergence | Baskakov–Szász type operators | POLYNOMIALS | MATHEMATICS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | Ditzian-Totik modulus of smoothness | Baskakov-Szasz type operators | CONVERGENCE | BOUNDED VARIATION FUNCTIONS | Research

41A25 | 41A36 | Ditzian–Totik modulus of smoothness | 40A35 | Bounded variation | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | 26A15 | Rate of convergence | Baskakov–Szász type operators | POLYNOMIALS | MATHEMATICS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | Ditzian-Totik modulus of smoothness | Baskakov-Szasz type operators | CONVERGENCE | BOUNDED VARIATION FUNCTIONS | Research

Journal Article

Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 19, pp. 6131 - 6151

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators...

Simultaneous approximation | Baskakov Kantorovich | Rate of convergence | Modulus of continuity | Asymptotic formula | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | STATISTICAL APPROXIMATION PROPERTIES | rate of convergence | POSITIVE LINEAR-OPERATORS | MATHEMATICS | asymptotic formula | WEIGHTED APPROXIMATION | simultaneous approximation | Q-INTEGERS | KING-TYPE OPERATORS | CONVERGENCE | modulus of continuity | DERIVATIVES | BOUNDED VARIATION | BERNSTEIN POLYNOMIALS

Simultaneous approximation | Baskakov Kantorovich | Rate of convergence | Modulus of continuity | Asymptotic formula | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | STATISTICAL APPROXIMATION PROPERTIES | rate of convergence | POSITIVE LINEAR-OPERATORS | MATHEMATICS | asymptotic formula | WEIGHTED APPROXIMATION | simultaneous approximation | Q-INTEGERS | KING-TYPE OPERATORS | CONVERGENCE | modulus of continuity | DERIVATIVES | BOUNDED VARIATION | BERNSTEIN POLYNOMIALS

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 207, Issue 2, pp. 346 - 350

... and compactness of the following extended Cesàro operators T g f ( z ) = ∫ 0 1 f ( tz ) R g ( tz ) dt t and L g f ( z ) = ∫ 0 1 R f ( tz ) g ( tz ) dt t , where z ∈ B and g...

Unit ball | Extended Cesàro operators | Compactness | Bloch space | Boundedness | Hardy space | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | C-N | MIXED-NORM SPACES | POLYDISK | H-INFINITY | Extended Cesaro operators | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | BERGMAN SPACES

Unit ball | Extended Cesàro operators | Compactness | Bloch space | Boundedness | Hardy space | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | C-N | MIXED-NORM SPACES | POLYDISK | H-INFINITY | Extended Cesaro operators | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | BERGMAN SPACES

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 5/2011, Volume 2011

... Cesàro operator and composition operator from Lipschitz space to F(p,q,s) space on the unit ball of ℂn.

MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | C-N | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | HARDY-SPACES | H-INFINITY | COMPACTNESS | BERGMAN SPACES | INTEGRAL-TYPE | Operator theory | Research | Vector spaces | Banach spaces | Inequality | Operators

MATHEMATICS | WEIGHTED COMPOSITION OPERATORS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | C-N | RIEMANN-STIELTJES OPERATORS | ZYGMUND SPACES | HARDY-SPACES | H-INFINITY | COMPACTNESS | BERGMAN SPACES | INTEGRAL-TYPE | Operator theory | Research | Vector spaces | Banach spaces | Inequality | Operators

Journal Article

Filomat, ISSN 0354-5180, 1/2015, Volume 29, Issue 6, pp. 1173 - 1177

Very recently the modified form of Srivastava-Gupta operators was studied in order to preserve the linear functions...

Approximation | Baskakov-Durrmeyer operators | Phillips operators | Rate of convergence | Bounded functions | Srivastava-Gupta operators | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | rate of convergence | bounded functions | INTEGRAL TYPE OPERATORS

Approximation | Baskakov-Durrmeyer operators | Phillips operators | Rate of convergence | Bounded functions | Srivastava-Gupta operators | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATION | rate of convergence | bounded functions | INTEGRAL TYPE OPERATORS

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 7/2019, Volume 13, Issue 5, pp. 2239 - 2258

We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators...

Hardy operator | Operator Theory | Secondary 47G10 | Mixed norm Lebesgue spaces | Analysis | Composition operator | Mathematics, general | Primary 47B33 | Mathematics | MATHEMATICS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | PRODUCTS | HARDY-STEKLOV

Hardy operator | Operator Theory | Secondary 47G10 | Mixed norm Lebesgue spaces | Analysis | Composition operator | Mathematics, general | Primary 47B33 | Mathematics | MATHEMATICS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | PRODUCTS | HARDY-STEKLOV

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 9

In this paper, we give three different characterizations for the boundedness and compactness of generalized weighted composition operators on Bloch-type spaces, especially we characterize...

differentiation operator | 47B38 | composition operator | Analysis | Mathematics, general | generalized weighted composition operators | Mathematics | Applications of Mathematics | 30H30 | Bloch-type space | BERGMAN-TYPE SPACES | ESSENTIAL NORMS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | UNIT | COMPACT COMPOSITION OPERATORS | H-INFINITY | MATHEMATICS | PRODUCTS | DIFFERENTIATION | BERS-TYPE SPACES | Norms | Texts | Operators | Inequalities

differentiation operator | 47B38 | composition operator | Analysis | Mathematics, general | generalized weighted composition operators | Mathematics | Applications of Mathematics | 30H30 | Bloch-type space | BERGMAN-TYPE SPACES | ESSENTIAL NORMS | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | UNIT | COMPACT COMPOSITION OPERATORS | H-INFINITY | MATHEMATICS | PRODUCTS | DIFFERENTIATION | BERS-TYPE SPACES | Norms | Texts | Operators | Inequalities

Journal Article

Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 4, pp. 1081 - 1088

In the present paper, we introduce the Stancu type Jain operators, which generalize the well-known Szász...

Voronovskaya-Type asymptotic formula | Szász-Mirakyan operators | Modulus of continuity | Jain operators | MATHEMATICS, APPLIED | MIRAKJAN TYPE OPERATORS | UNIFORM APPROXIMATION | FAMILY | POLYNOMIALS | MATHEMATICS | ERROR ESTIMATION | INTEGRAL TYPE OPERATORS | SZASZ | Szasz-Mirakyan operators

Voronovskaya-Type asymptotic formula | Szász-Mirakyan operators | Modulus of continuity | Jain operators | MATHEMATICS, APPLIED | MIRAKJAN TYPE OPERATORS | UNIFORM APPROXIMATION | FAMILY | POLYNOMIALS | MATHEMATICS | ERROR ESTIMATION | INTEGRAL TYPE OPERATORS | SZASZ | Szasz-Mirakyan operators

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 327, Issue 2, pp. 1284 - 1296

In this paper we study the mixed summation-integral type operators having Szász and Beta basis functions...

Direct results | Linear positive operators | Summation-integral type operators | Iterative combinations | MATHEMATICS | linear positive operators | MATHEMATICS, APPLIED | summation-integral type operators | iterative combinations | direct results

Direct results | Linear positive operators | Summation-integral type operators | Iterative combinations | MATHEMATICS | linear positive operators | MATHEMATICS, APPLIED | summation-integral type operators | iterative combinations | direct results

Journal Article

Mathematical Inequalities and Applications, ISSN 1331-4343, 10/2015, Volume 18, Issue 4, pp. 1589 - 1599

In this paper, we investigate the boundedness of Volterra type operators on Morrey type spaces H-K(2).

Morrey type space | space | Volterra type operator | Q(K) | MATHEMATICS | INTEGRAL-TYPE OPERATORS | Q(K) space | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | EXTENDED CESARO OPERATORS | ANALYTIC-FUNCTIONS | BERGMAN SPACES

Morrey type space | space | Volterra type operator | Q(K) | MATHEMATICS | INTEGRAL-TYPE OPERATORS | Q(K) space | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | EXTENDED CESARO OPERATORS | ANALYTIC-FUNCTIONS | BERGMAN SPACES

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 13

We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex...

essential norm | 47B38 | unit disk | generalized composition operator | Analysis | k th weighted-type space | Mathematics, general | 47B33 | Mathematics | Applications of Mathematics | 30H99 | kth weighted-type space | MATHEMATICS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | INTEGRAL-TYPE OPERATOR | ZYGMUND SPACES | H-INFINITY | AREA NEVANLINNA SPACES | UNIT BALL | Operators | Research

essential norm | 47B38 | unit disk | generalized composition operator | Analysis | k th weighted-type space | Mathematics, general | 47B33 | Mathematics | Applications of Mathematics | 30H99 | kth weighted-type space | MATHEMATICS | MATHEMATICS, APPLIED | BLOCH-TYPE SPACES | INTEGRAL-TYPE OPERATOR | ZYGMUND SPACES | H-INFINITY | AREA NEVANLINNA SPACES | UNIT BALL | Operators | Research

Journal Article

12.
Full Text
On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces

Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 256, pp. 37 - 51

.... Let D be the differentiation operator and Wφ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator DWφ,ψ...

Weighted Zygmund spaces | Weighted Bloch spaces | Product-type operators | Compactness | Weighted Bergman–Orlicz spaces | Boundedness | Weighted | Bergman-Orlicz spaces | Zygmund spaces | Bloch spaces | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACE | HARDY-SPACES | H-INFINITY | ANALYTIC-FUNCTIONS | Weighted Bergman-Orlicz spaces | UNIT BALL | NEVANLINNA | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | ZYGMUND SPACES

Weighted Zygmund spaces | Weighted Bloch spaces | Product-type operators | Compactness | Weighted Bergman–Orlicz spaces | Boundedness | Weighted | Bergman-Orlicz spaces | Zygmund spaces | Bloch spaces | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACE | HARDY-SPACES | H-INFINITY | ANALYTIC-FUNCTIONS | Weighted Bergman-Orlicz spaces | UNIT BALL | NEVANLINNA | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | ZYGMUND SPACES

Journal Article

13.
Full Text
On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 354, Issue 2, pp. 426 - 434

We introduce the following integral-type operator on the space H ( B ) of all holomorphic functions on the unit ball B ⊂ C n P φ g ( f ) ( z ) = ∫ 0 1 f ( φ ( t z ) ) g ( t z ) d t t , z ∈ B , where g ∈ H ( B ) , g ( 0 ) = 0 and φ...

Unit ball | Integral-type operator | Compactness | Boundedness | Essential norm | Bloch space | Bloch-type space | MATHEMATICS, APPLIED | HARDY-SPACES | H-INFINITY | MATHEMATICS | PRODUCTS | RIEMANN-STIELTJES OPERATORS | EXTENDED CESARO OPERATORS

Unit ball | Integral-type operator | Compactness | Boundedness | Essential norm | Bloch space | Bloch-type space | MATHEMATICS, APPLIED | HARDY-SPACES | H-INFINITY | MATHEMATICS | PRODUCTS | RIEMANN-STIELTJES OPERATORS | EXTENDED CESARO OPERATORS

Journal Article

TURKISH JOURNAL OF MATHEMATICS, ISSN 1300-0098, 2018, Volume 42, Issue 6, pp. 3101 - 3116

We investigate closed range properties of certain integral-type operators introduced by Li and Stevic...

MATHEMATICS | Closed range operators | weighted composition operators | PRODUCTS | integral-type operators | BANACH-SPACES | essential norms | H-INFINITY | Bloch-type spaces

MATHEMATICS | Closed range operators | weighted composition operators | PRODUCTS | integral-type operators | BANACH-SPACES | essential norms | H-INFINITY | Bloch-type spaces

Journal Article

Bulletin of the Belgian Mathematical Society - Simon Stevin, ISSN 1370-1444, 10/2009, Volume 16, Issue 4, pp. 623 - 635

Motivated by a recent paper by S. Ohno we calculate Hilbert-Schmidt norms of products of composition and differentiation operators on the Bergman space A(alpha)(2), alpha...

MATHEMATICS | INTEGRAL-TYPE OPERATORS | LOGARITHMIC BLOCH | ALPHA-BLOCH SPACES | MIXED-NORM SPACES | GENERALIZED COMPOSITION OPERATORS | ZYGMUND SPACES | HARDY-SPACES | HOLOMORPHIC-FUNCTIONS | H-INFINITY | UNIT BALL | Analysis | Geometry, Differential | Banach spaces

MATHEMATICS | INTEGRAL-TYPE OPERATORS | LOGARITHMIC BLOCH | ALPHA-BLOCH SPACES | MIXED-NORM SPACES | GENERALIZED COMPOSITION OPERATORS | ZYGMUND SPACES | HARDY-SPACES | HOLOMORPHIC-FUNCTIONS | H-INFINITY | UNIT BALL | Analysis | Geometry, Differential | Banach spaces

Journal Article

JOURNAL OF INEQUALITIES AND APPLICATIONS, ISSN 1029-242X, 05/2019, Volume 2019, Issue 1, pp. 1 - 27

...) be the space of analytic functions that are L2 with respect to the weight.., d(z) = (ln 1 | z|). [ ln(1 -1 ln | z|)] d, where -1 <. <8 and d = 0. For given g. H(D), the integral-type operator Ig on H...

MATHEMATICS | Integral-type operator | WEIGHTED COMPOSITION OPERATORS | ORLICZ | MATHEMATICS, APPLIED | Compactness | Boundedness | Essential norm | PRODUCT-TYPE OPERATORS | Operators (mathematics) | Analytic functions | Mathematical analysis | Integrals

MATHEMATICS | Integral-type operator | WEIGHTED COMPOSITION OPERATORS | ORLICZ | MATHEMATICS, APPLIED | Compactness | Boundedness | Essential norm | PRODUCT-TYPE OPERATORS | Operators (mathematics) | Analytic functions | Mathematical analysis | Integrals

Journal Article

Tbilisi Mathematical Journal, 02/2018, Volume 11, Issue 1, pp. 99 - 116

In this paper we introduce and study the Stancu type generalization of the integral type operators defined in (1.1...

41A25 | 40A35 | integral type operators | weighted Lp- approximation | rate of convergence | 26A15 | modulus of continuity | Voronovskaja-type theorem

41A25 | 40A35 | integral type operators | weighted Lp- approximation | rate of convergence | 26A15 | modulus of continuity | Voronovskaja-type theorem

Journal Article

Tbilisi Mathematical Journal, ISSN 1875-158X, 01/2018, Volume 11, Issue 1, pp. 99 - 116

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 321, Issue 1, pp. 1 - 9

In this paper we study the mixed summation–integral type operators having Szasz and Beta basis functions in summation and integration, respectively, we obtain...

Summation–integral type operators | Simultaneous approximation | Linear positive operators | Rate of convergence | Asymptotic formula | Error estimate | Summation-integral type operators | error estimate | MATHEMATICS | MATHEMATICS, APPLIED | asymptotic formula | summation-integral type operators | simultaneous approximation | linear positive operators | rate of convergence | INTEGRAL TYPE OPERATORS

Summation–integral type operators | Simultaneous approximation | Linear positive operators | Rate of convergence | Asymptotic formula | Error estimate | Summation-integral type operators | error estimate | MATHEMATICS | MATHEMATICS, APPLIED | asymptotic formula | summation-integral type operators | simultaneous approximation | linear positive operators | rate of convergence | INTEGRAL TYPE OPERATORS

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2017, Volume 11, Issue 2, pp. 261 - 288

...–Sharma operator, recently proposed by Liu and Yu $$\begin{aligned} T_{\psi _1, \psi _2, \psi _3,\varphi }f(z)=\psi _1(z)f(\varphi (z))+\psi _2(z){{\mathcal {R}}}f...

Weighted-type spaces | Composition operator | 32A10 | 47B33 | Mathematics | 32A18 | Operator Theory | 47B38 | Analysis | Multiplication operator | Mathematics, general | The general space | Radial derivative | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACES | ZYGMUND-TYPE SPACES | H-INFINITY | S) SPACE | MATHEMATICS | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ORLICZ SPACES | BERGMAN SPACES

Weighted-type spaces | Composition operator | 32A10 | 47B33 | Mathematics | 32A18 | Operator Theory | 47B38 | Analysis | Multiplication operator | Mathematics, general | The general space | Radial derivative | INTEGRAL-TYPE OPERATORS | MATHEMATICS, APPLIED | MIXED-NORM SPACES | ZYGMUND-TYPE SPACES | H-INFINITY | S) SPACE | MATHEMATICS | DIFFERENTIATION OPERATORS | BLOCH-TYPE SPACES | RIEMANN-STIELTJES OPERATORS | ORLICZ SPACES | BERGMAN SPACES

Journal Article

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