Results 61 to 70 of about 1,372 (158)
A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
Abstract and Applied Analysis, 2013 In this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on spaces, the spaces of all real valued ...
Yusuf Kaya, Nazmiye Gönül
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Journal of Function Spaces, 2020 We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
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Проблемы анализа, 2022 The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator.
Kuldip Raj, Kavita Saini, M. Mursaleen
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Journal of Approximation Theory, 1985 In this paper we give a sufficient condition for the pointwise Korovkin property on B(X), the space of bounded real valued functions on an arbitrary countable set \(X=\{x_ 1,...,x_ j,...\}\). Our theorem follows from its \(L_ p(X,\mu)\) analogue (and conversely); here \(1\leq p0\) for all j.
openaire +2 more sources
Approximation by q‐Post‐Widder Operators Based on a New Parameter
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
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Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials
Journal of Inequalities and ApplicationsThis article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
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On approximate Hermite-Hadamard type inequalities [PDF]
, 2015 The main results of this paper offer sufficient conditions in order that an approximate lower Hermite–Hadamard type inequality implies an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core
Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar +2 more
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Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence
Journal of Function Spaces, 2015 We deal with a new type of statistical convergence for double sequences, called Ψ-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces.
Carlo Bardaro +4 more
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Korovkin-type Theorems via Statistical Derivatives of Deferred Nörlund Summability [PDF]
Sahand Communications in Mathematical AnalysisThis paper introduces and explores the concept of statistical derivatives within the framework of deferred N\"{o}rlund summability, complemented by illustrative examples.
Suresh Chandra Mahapatra +3 more
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