Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 11

... generalization of Szász operators via q-calculus Gürhan ˙ Içöz * and Bayram Çekim * Correspondence: gurhanicoz@gazi.edu.tr Department of Mathematics, Faculty of Science...

33C45 | 41A25 | 41A36 | Szász operator | Dunkl analog | Analysis | generalization of exponential function | Mathematics, general | generating functions | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Q-BERNSTEIN POLYNOMIALS | CONVERGENCE | APPROXIMATION PROPERTIES | Szasz operator | Operators | Construction | Theorems | Approximation | Mathematical analysis | Inequalities | Continuity | Convergence

33C45 | 41A25 | 41A36 | Szász operator | Dunkl analog | Analysis | generalization of exponential function | Mathematics, general | generating functions | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Q-BERNSTEIN POLYNOMIALS | CONVERGENCE | APPROXIMATION PROPERTIES | Szasz operator | Operators | Construction | Theorems | Approximation | Mathematical analysis | Inequalities | Continuity | Convergence

Journal Article

Journal of the Egyptian Mathematical Society, ISSN 1110-256X, 07/2015, Volume 23, Issue 2, pp. 247 - 250

In the present paper, a new relation including hypergeometric matrix function between Laguerre and Hermite matrix polynomials presented in [2,3] is derived.

Hermite matrix polynomials | Hypergeometric matrix functions | Laguerre matrix polynomials

Hermite matrix polynomials | Hypergeometric matrix functions | Laguerre matrix polynomials

Journal Article

Turkish Journal of Mathematics, ISSN 1300-0098, 2018, Volume 42, Issue 3, pp. 887 - 903

According to the generalized Mellin derivative, we introduce a new family of polynomials called higher order generalized geometric polynomials and obtain some...

Riemann zeta function | Bernoulli polynomials | Generalized geometric polynomials | Euler polynomials | CONNECTION | MATHEMATICS | SERIES | R-WHITNEY NUMBERS | BERNOULLI | FORMULA | SUMS

Riemann zeta function | Bernoulli polynomials | Generalized geometric polynomials | Euler polynomials | CONNECTION | MATHEMATICS | SERIES | R-WHITNEY NUMBERS | BERNOULLI | FORMULA | SUMS

Journal Article

4.
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Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

Axioms, ISSN 2075-1680, 2019, Volume 8, Issue 4, p. 111

Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the...

lipschitz class | local approximation | szász-mirakjan beta type operators | confluent hypergeometric function | szász-mirakjan operators | extended gamma and beta functions | voronovskaja type approximation theorem | modulus of continuity | modulus of smoothness | gamma and beta functions

lipschitz class | local approximation | szász-mirakjan beta type operators | confluent hypergeometric function | szász-mirakjan operators | extended gamma and beta functions | voronovskaja type approximation theorem | modulus of continuity | modulus of smoothness | gamma and beta functions

Journal Article

Journal of function spaces, ISSN 2314-8888, 2019, Volume 2019, pp. 1 - 11

In this study, we introduce a Durrmeyer type of Bleimann, Butzer, and Hahn operators (BBH) on -integers. We derive the some approximation properties for these...

MATHEMATICS | BLEIMANN | MATHEMATICS, APPLIED | Integers | Operators | Properties (attributes) | Researchers | Approximation | Applied mathematics | Mathematical analysis | Calculus | Inequality

MATHEMATICS | BLEIMANN | MATHEMATICS, APPLIED | Integers | Operators | Properties (attributes) | Researchers | Approximation | Applied mathematics | Mathematical analysis | Calculus | Inequality

Journal Article

Miskolc Mathematical Notes, ISSN 1787-2405, 2017, Volume 18, Issue 1, pp. 211 - 221

... İÇÖZ AND BAYRAM ÇEKİM Received 20 May, 2016 Abstract. In this paper, we study q extension of Mittag-Leffler operators. We establish mo- ments of these operators...

Q-Gamma function | q-Mittag-Leffler operators | Modulus of continuity | MATHEMATICS | RATES | modulus of continuity | q-Gamma function | A-STATISTICAL CONVERGENCE

Q-Gamma function | q-Mittag-Leffler operators | Modulus of continuity | MATHEMATICS | RATES | modulus of continuity | q-Gamma function | A-STATISTICAL CONVERGENCE

Journal Article

7.
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New Families of Three-Variable Polynomials Coupled with Well-Known Polynomials and Numbers

Symmetry (Basel), ISSN 2073-8994, 2019, Volume 11, Issue 2, p. 264

In this paper, firstly the definitions of the families of three-variable polynomials with the new generalized polynomials related to the generating functions...

Lucas polynomials | trivariate Lucas polynomials | MULTIDISCIPLINARY SCIENCES | EQUATIONS | generating functions | FIBONACCI | Fibonacci polynomials | trivariate Fibonacci polynomials

Lucas polynomials | trivariate Lucas polynomials | MULTIDISCIPLINARY SCIENCES | EQUATIONS | generating functions | FIBONACCI | Fibonacci polynomials | trivariate Fibonacci polynomials

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 12/2017, Volume 40, Issue 18, pp. 7697 - 7704

The goal in the paper is to advertise Dunkl extension of Szász beta‐type operators. We initiate approximation features via acknowledged Korovkin and weighted...

Lipschitz functions | Szász operators | Dunkl‐type generalization | Peetre's K‐functional | Peetre's K-functional | Dunkl-type generalization | MATHEMATICS, APPLIED | Szasz operators | Operators (mathematics) | Continuity (mathematics) | Mathematics - Classical Analysis and ODEs

Lipschitz functions | Szász operators | Dunkl‐type generalization | Peetre's K‐functional | Peetre's K-functional | Dunkl-type generalization | MATHEMATICS, APPLIED | Szasz operators | Operators (mathematics) | Continuity (mathematics) | Mathematics - Classical Analysis and ODEs

Journal Article

Miskolc Mathematical Notes, ISSN 1787-2405, 2013, Volume 14, Issue 3, pp. 817 - 826

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 61, Issue 9, pp. 2412 - 2423

The classical Jacobi matrix polynomials only for commutative matrices were first studied by Defez et al. [E. Defez, L. Jódar, A. Law. Jacobi matrix...

Jacobi matrix polynomials | Multilinear and multilateral generating matrix functions | Generating matrix function | Recurrence relation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DIFFERENTIAL-EQUATIONS | ORTHOGONAL POLYNOMIALS | Construction | Law | Mathematical analysis | Differential equations | Multivariable | Multilateral | Mathematical models

Jacobi matrix polynomials | Multilinear and multilateral generating matrix functions | Generating matrix function | Recurrence relation | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DIFFERENTIAL-EQUATIONS | ORTHOGONAL POLYNOMIALS | Construction | Law | Mathematical analysis | Differential equations | Multivariable | Multilateral | Mathematical models

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 2180-4206, 2018, Volume 42, Issue 5, pp. 2795 - 2805

... polynomials Rabia Akta¸ s 1 · Bayram Çekim 2 · Fatma Ta¸ sdelen 1 Received: 29 August 2017 / Revised: 2 February 2018 / Published online: 19 May 2018 © Malaysian...

Hermite polynomial | 41A36 | Korovkin’s type approximation theorem | Mathematics, general | Mathematics | Applications of Mathematics | Secondary 33C45 | Primary 41A25 | Modulus of continuity | Dunkl analogue | MATHEMATICS | Korovkin's type approximation theorem | CONVERGENCE | Operators | Hermite polynomials | Monte Carlo simulation | Continuity (mathematics) | Mathematics - Classical Analysis and ODEs

Hermite polynomial | 41A36 | Korovkin’s type approximation theorem | Mathematics, general | Mathematics | Applications of Mathematics | Secondary 33C45 | Primary 41A25 | Modulus of continuity | Dunkl analogue | MATHEMATICS | Korovkin's type approximation theorem | CONVERGENCE | Operators | Hermite polynomials | Monte Carlo simulation | Continuity (mathematics) | Mathematics - Classical Analysis and ODEs

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 4/2013, Volume 2013, pp. 1 - 6

By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de
fined and some of their properties are obtained. Then, we compare some...

MATHEMATICS | MATHEMATICS, APPLIED | Functions | Research | Vector spaces | Functional equations | Variables (Mathematics) | Mathematical research | Studies | Differential equations | Derivatives

MATHEMATICS | MATHEMATICS, APPLIED | Functions | Research | Vector spaces | Functional equations | Variables (Mathematics) | Mathematical research | Studies | Differential equations | Derivatives

Journal Article

FILOMAT, ISSN 0354-5180, 2015, Volume 29, Issue 9, pp. 2059 - 2067

In the present paper, we define q-matrix polynomials in several variables which reduces Chan-Chyan-Srivastava and Lagrange-Hermite matrix polynomials in [6]....

q-shifted matrix function | MATHEMATICS | MATHEMATICS, APPLIED | q-Lagrange-Hermite matrix polynomials | LAGRANGE POLYNOMIALS | STATISTICAL APPROXIMATION | Q-EXTENSIONS | GENERATING-FUNCTIONS | BERNOULLI | CHYAN-SRIVASTAVA POLYNOMIALS | EULER | q-Chan-Chyan-Srivastava matrix polynomials

q-shifted matrix function | MATHEMATICS | MATHEMATICS, APPLIED | q-Lagrange-Hermite matrix polynomials | LAGRANGE POLYNOMIALS | STATISTICAL APPROXIMATION | Q-EXTENSIONS | GENERATING-FUNCTIONS | BERNOULLI | CHYAN-SRIVASTAVA POLYNOMIALS | EULER | q-Chan-Chyan-Srivastava matrix polynomials

Journal Article

Gazi University Journal of Science, ISSN 1303-9709, 07/2015, Volume 28, Issue 2, pp. 259 - 263

Journal Article

Journal of Mathematical Sciences (Japan), ISSN 1340-5705, 2015, Volume 22, Issue 2, pp. 519 - 530

Journal Article

Miskolc Mathematical Notes, ISSN 1787-2405, 2015, Volume 16, Issue 1, pp. 79 - 89

Journal Article

Hacettepe Journal of Mathematics and Statistics, ISSN 1303-5010, 02/2012, Volume 41, Issue 1, pp. 25 - 32

Journal Article

Mathematics, ISSN 2227-7390, 02/2019, Volume 7, Issue 2, p. 136

In this paper, we introduce (p, q) -Chebyshev polynomials of the first and second kind that reduces the (p, q)-Fibonacci and the (p, q)-Lucas polynomials....

Multilinear generating functions | (p, q)-Chebyshev polynomials | (p, q)-Fibonacci polynomials | Multilateral generating functions | MATHEMATICS | multilateral generating functions | multilinear generating functions | FIBONACCI | GENERATING-FUNCTIONS | (p, q)–Fibonacci polynomials | (p, q)–Chebyshev polynomials

Multilinear generating functions | (p, q)-Chebyshev polynomials | (p, q)-Fibonacci polynomials | Multilateral generating functions | MATHEMATICS | multilateral generating functions | multilinear generating functions | FIBONACCI | GENERATING-FUNCTIONS | (p, q)–Fibonacci polynomials | (p, q)–Chebyshev polynomials

Journal Article

Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 14, pp. 3733 - 3742

We give the Stancu-type generalization of the operators which is given by Erkus-Duman and Duman in this study. We derive approximation theorems via...

MATHEMATICS | MATHEMATICS, APPLIED | LAGRANGE POLYNOMIALS | generating functions | STATISTICAL APPROXIMATION | CONVERGENCE | Chan-Chyan-Srivastava multivariable polynomials | A-statistical convergence

MATHEMATICS | MATHEMATICS, APPLIED | LAGRANGE POLYNOMIALS | generating functions | STATISTICAL APPROXIMATION | CONVERGENCE | Chan-Chyan-Srivastava multivariable polynomials | A-statistical convergence

Journal Article

Gazi University Journal of Science, ISSN 1303-9709, 2014, Volume 27, Issue 1, pp. 663 - 667

Journal Article

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