Archiv der Mathematik, ISSN 0003-889X, 7/2003, Volume 81, Issue 1, pp. 82 - 89

We extend the concept of and basic results on statistical convergence from ordinary (single) sequences to multiple sequences of (real or complex) numbers. As...

Secondary 42B05 | Mathematics | Primary 40A05, 40B05 | MATHEMATICS | APPROXIMATION

Secondary 42B05 | Mathematics | Primary 40A05, 40B05 | MATHEMATICS | APPROXIMATION

Journal Article

Nagoya mathematical journal, ISSN 0027-7630, 2008, Volume 189, pp. 49 - 62

We find a symmetry for the reflection groups in the double shuffle space of depth three. The space was introduced by Ihara, Kaneko and Zagier and consists of...

MATHEMATICS | 40B05 | 11M06 | 11M41

MATHEMATICS | 40B05 | 11M06 | 11M41

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 12/2009, Volume 59, Issue 6, pp. 767 - 776

In this article we introduce some vector valued double sequence spaces defined by Orlicz function. We study some of their properties like solidness,...

solid space | regular convergence | seminorm | Orlicz function | completeness | Primary 40A05, 40B05, 46E30 | Seminorm | Solid space | Regular convergence | Completeness | MATHEMATICS

solid space | regular convergence | seminorm | Orlicz function | completeness | Primary 40A05, 40B05, 46E30 | Seminorm | Solid space | Regular convergence | Completeness | MATHEMATICS

Journal Article

Results in Mathematics, ISSN 1422-6383, 11/2017, Volume 72, Issue 3, pp. 1271 - 1280

We investigate the existence of the limit of some high order weighted Cesaro averages.

Sequences | 40G05 | high order Cesaro averages | multi-indices sequences | 40B05 | Mathematics, general | Mathematics | 11B99 | ergodic averages | MATHEMATICS | MATHEMATICS, APPLIED | INDEPENDENCE | THEOREMS | INTERACTING FOCK SPACES | Mathematics - Functional Analysis

Sequences | 40G05 | high order Cesaro averages | multi-indices sequences | 40B05 | Mathematics, general | Mathematics | 11B99 | ergodic averages | MATHEMATICS | MATHEMATICS, APPLIED | INDEPENDENCE | THEOREMS | INTERACTING FOCK SPACES | Mathematics - Functional Analysis

Journal Article

Real Analysis Exchange, ISSN 0147-1937, 2013, Volume 39, Issue 1, pp. 91 - 100

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 06/2017, Volume 67, Issue 3, pp. 731 - 736

The following notion of bounded index for complex entire functions was presented by Lepson. function ) is of bounded index if there exists an integer...

Pringsheim limit point | Primary 40B05 | RH-regular | double entire functions | p-convergent | Secondary 40C05 | double sequences | MATHEMATICS | Functions | Research | Functional equations | Mathematical research | Integers | Bivariate analysis | Entire functions | Mathematical analysis

Pringsheim limit point | Primary 40B05 | RH-regular | double entire functions | p-convergent | Secondary 40C05 | double sequences | MATHEMATICS | Functions | Research | Functional equations | Mathematical research | Integers | Bivariate analysis | Entire functions | Mathematical analysis

Journal Article

Tokyo Journal of Mathematics, ISSN 0387-3870, 2017, Volume 34, Issue 2, pp. 353 - 366

We consider Apostol-Vu double zeta values for coordinatewise limits at non-positive integers, and we give some relations among Riemann's zeta values,...

Coordinatewise limit | True singularity | Apostol-Vu multiple zeta function | MATHEMATICS | ANALYTIC CONTINUATION | true singularity | coordinatewise limit | 40B05 | 11M41

Coordinatewise limit | True singularity | Apostol-Vu multiple zeta function | MATHEMATICS | ANALYTIC CONTINUATION | true singularity | coordinatewise limit | 40B05 | 11M41

Journal Article

Formalized Mathematics, ISSN 1426-2630, 09/2016, Volume 24, Issue 3, pp. 173 - 186

First, we define in Mizar [5], the Cartesian product of two filters bases and the Cartesian product of two filters. After comparing the product of two Fréchet...

filter | version: 8.1.05 5.37.1275 | 54A20 | iterated limits | identifier: CARDFIL4 | 40B05 | 40A05 | Pringsheim convergence | double limits | regular space | 03B35 | Iterated limits | Regular space | Filter | Double limits

filter | version: 8.1.05 5.37.1275 | 54A20 | iterated limits | identifier: CARDFIL4 | 40B05 | 40A05 | Pringsheim convergence | double limits | regular space | 03B35 | Iterated limits | Regular space | Filter | Double limits

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 02/2015, Volume 11, Issue 1, pp. 127 - 137

We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple...

Multiple zeta values | Multiple L-values | Multiple polylogarithms | MATHEMATICS | multiple L-values | multiple polylogarithms | Mathematics - Number Theory

Multiple zeta values | Multiple L-values | Multiple polylogarithms | MATHEMATICS | multiple L-values | multiple polylogarithms | Mathematics - Number Theory

Journal Article

Afrika mathematica, ISSN 2190-7668, 2014, Volume 26, Issue 5-6, pp. 753 - 760

In this article we introduce the notion of convergent, bounded and null multiple sequences in probabilistic normed spaces. We prove some topological and...

60B99 | Mathematics | History of Mathematical Sciences | Multiple sequence | Probabilistic norm | 40A30 | Completeness | 40B05 | Mathematics, general | Mathematics Education | 40A05 | Solid space | Applications of Mathematics

60B99 | Mathematics | History of Mathematical Sciences | Multiple sequence | Probabilistic norm | 40A30 | Completeness | 40B05 | Mathematics, general | Mathematics Education | 40A05 | Solid space | Applications of Mathematics

Journal Article

数学物理学报：B辑英文版, ISSN 0252-9602, 2011, Volume 31, Issue 1, pp. 134 - 140

In this article, we introduce some double sequence spaces of fuzzy real numbers defined by Orlicz function, study some of their properties like solidness,...

实数 | 模糊数 | Orlicz函数 | 序列空间 | 函数定义 | 整性 | solid space | regular convergence | seminorm | 46E30 | symmetric space | 40B05 | 40A05 | Orlicz function | completeness | Seminorm | Solid space | Symmetric space | Regular convergence | Completeness | MATHEMATICS | CONVERGENCE | Algebra | Infinity | Mathematical analysis | Images | Norms | Fuzzy | Inclusions | Invariants | Fuzzy systems

实数 | 模糊数 | Orlicz函数 | 序列空间 | 函数定义 | 整性 | solid space | regular convergence | seminorm | 46E30 | symmetric space | 40B05 | 40A05 | Orlicz function | completeness | Seminorm | Solid space | Symmetric space | Regular convergence | Completeness | MATHEMATICS | CONVERGENCE | Algebra | Infinity | Mathematical analysis | Images | Norms | Fuzzy | Inclusions | Invariants | Fuzzy systems

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 06/2016, Volume 66, Issue 3, pp. 687 - 694

If { } is a sequence in a normed space , the space of bounded multipliers for the series is defined to be and the summing operator is defined to be . We show...

40J05 | weak sequential continuity | (weak) compactness | convergence | 46A45 | series | Primary 40A05 | 40B05 | complete continuity | summing operator | multiplier space | 40F05 | MATHEMATICS | Series | Transformations (Mathematics) | Multipliers (Mathematical analysis) | Analysis

40J05 | weak sequential continuity | (weak) compactness | convergence | 46A45 | series | Primary 40A05 | 40B05 | complete continuity | summing operator | multiplier space | 40F05 | MATHEMATICS | Series | Transformations (Mathematics) | Multipliers (Mathematical analysis) | Analysis

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 02/2015, Volume 36, Issue 2, pp. 240 - 247

The goal of this article is to present multidimensional matrix characterization of geometrically dominated double sequences. We begin this characterization...

Double sequences pringsheim limit point | P-convergent | RH-regular | Primary 40B05 | Secondary 40C05 | P-CONVERGENCE | MATHEMATICS, APPLIED | DOUBLE SEQUENCES | SUMMABILITY | Complex numbers | Sequences | Theorems | Functional analysis | Optimization

Double sequences pringsheim limit point | P-convergent | RH-regular | Primary 40B05 | Secondary 40C05 | P-CONVERGENCE | MATHEMATICS, APPLIED | DOUBLE SEQUENCES | SUMMABILITY | Complex numbers | Sequences | Theorems | Functional analysis | Optimization

Journal Article

Georgian Mathematical Journal, ISSN 1072-947X, 03/2016, Volume 23, Issue 1, pp. 33 - 42

Let be a ( ,1,1,1) summable triple sequence of real numbers. We give one-sided Tauberian conditions of Landau and Hardy type under which converges in...

1,1,1) summability | 40B05 | 40E05 | one-sided Tauberian condition | slowly oscillating sequence | Triple sequence | (C, 1, 1, 1) summability | MATHEMATICS | POWER-SERIES | SUMMABILITY METHOD

1,1,1) summability | 40B05 | 40E05 | one-sided Tauberian condition | slowly oscillating sequence | Triple sequence | (C, 1, 1, 1) summability | MATHEMATICS | POWER-SERIES | SUMMABILITY METHOD

Journal Article

Bulletin of the London Mathematical Society, ISSN 0024-6093, 04/2019, Volume 51, Issue 2, pp. 207 - 222

It is proved that given any three conditionally convergent series of real numbers, there is a single sequence of natural numbers such that each of the...

05D05 (secondary) | 40B05 (primary) | 40A05 | MATHEMATICS

05D05 (secondary) | 40B05 (primary) | 40A05 | MATHEMATICS

Journal Article

Journal of Dynamical and Control Systems, ISSN 1079-2724, 10/2016, Volume 22, Issue 4, pp. 693 - 711

We investigate Gevrey order and summability properties of formal power series solutions of some classes of inhomogeneous linear partial differential equations...

Summability | Systems Theory, Control | 35C10 | Engineering | Vibration, Dynamical Systems, Control | Gevrey order | Calculus of Variations and Optimal Control; Optimization | Analysis | 35C20 | 40B05 | Linear partial differential equation | Applications of Mathematics | Divergent power series | MATHEMATICS, APPLIED | MULTISUMMABILITY | HEAT-EQUATION | DIVERGENT SOLUTIONS | BOREL SUMMABILITY | AUTOMATION & CONTROL SYSTEMS | Differential equations | Control systems | Initial conditions | Partial differential equations | Mathematical analysis | Power series | Dynamical Systems | Mathematics

Summability | Systems Theory, Control | 35C10 | Engineering | Vibration, Dynamical Systems, Control | Gevrey order | Calculus of Variations and Optimal Control; Optimization | Analysis | 35C20 | 40B05 | Linear partial differential equation | Applications of Mathematics | Divergent power series | MATHEMATICS, APPLIED | MULTISUMMABILITY | HEAT-EQUATION | DIVERGENT SOLUTIONS | BOREL SUMMABILITY | AUTOMATION & CONTROL SYSTEMS | Differential equations | Control systems | Initial conditions | Partial differential equations | Mathematical analysis | Power series | Dynamical Systems | Mathematics

Journal Article

Functiones et Approximatio, Commentarii Mathematici, ISSN 0208-6573, 2013, Volume 49, Issue 2, pp. 357 - 370

Let \varphi= \{\varphi_m\}_{m=1}^{\infty} be a family of convex functions \varphi_m on {\mathbb R}^n with certain growth conditions. With a help of...

Linear difference equation | Sequence spaces | Duality | Entire functions | 39A10 | 47B39 | sequence spaces | entire functions | 40B05 | linear difference equation | duality

Linear difference equation | Sequence spaces | Duality | Entire functions | 39A10 | 47B39 | sequence spaces | entire functions | 40B05 | linear difference equation | duality

Journal Article

Functiones et Approximatio, Commentarii Mathematici, ISSN 0208-6573, 2013, Volume 49, Issue 2, pp. 331 - 348

We give a result on the asymptotic behavior of multiple zeta-functions near non-positive integers. By using that result, we evaluate limit values of multiple...

Multiple zeta function | Analytic continuation | Asymptotic behavior | analytic continuation | 40B05 | asymptotic behavior | 11M32 | multiple zeta function

Multiple zeta function | Analytic continuation | Asymptotic behavior | analytic continuation | 40B05 | asymptotic behavior | 11M32 | multiple zeta function

Journal Article

Formalized Mathematics, ISSN 1426-2630, 09/2015, Volume 23, Issue 3, pp. 253 - 277

In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In...

monotone convergence theorem for double sequence | double sequence | 40B05 | 40A05 | DBLSEQ 3 | 03B35 | Fatou’s lemma for double sequence | Double sequence | Fatou's lemma for double sequence

monotone convergence theorem for double sequence | double sequence | 40B05 | 40A05 | DBLSEQ 3 | 03B35 | Fatou’s lemma for double sequence | Double sequence | Fatou's lemma for double sequence

Journal Article

Designs, Codes and Cryptography, ISSN 0925-1022, 1/2014, Volume 70, Issue 1, pp. 55 - 67

A skew-feedback shift-register is a generalization of a linear-feedback shift-register and can be applied in decoding (interleaved) Reed–Solomon codes or...

Information and Communication, Circuits | Data Encryption | Reed–Solomon codes | Mathematics | Decoding | Data Structures, Cryptology and Information Theory | 94B35 | Shift-register synthesis | Discrete Mathematics in Computer Science | 94B05 | 40B05 | Coding and Information Theory | Interleaved codes | Combinatorics | Gabidulin codes | 94A55 | Multiple sequences | Skew-feedback | Reed-Solomon codes | MATHEMATICS, APPLIED | EUCLIDEAN ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | Algorithms

Information and Communication, Circuits | Data Encryption | Reed–Solomon codes | Mathematics | Decoding | Data Structures, Cryptology and Information Theory | 94B35 | Shift-register synthesis | Discrete Mathematics in Computer Science | 94B05 | 40B05 | Coding and Information Theory | Interleaved codes | Combinatorics | Gabidulin codes | 94A55 | Multiple sequences | Skew-feedback | Reed-Solomon codes | MATHEMATICS, APPLIED | EUCLIDEAN ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | Algorithms

Journal Article

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