Results 21 to 30 of about 63 (55)
Axioms, 2022 Here, in this article, we introduce and systematically investigate the ideas of deferred weighted statistical Riemann integrability and statistical deferred weighted Riemann summability for sequences of functions. We begin by proving an inclusion theorem that establishes a relation between these two potentially useful concepts.
Hari Mohan Srivastava +2 more
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Approximation properties of modified Baskakov gamma operators [PDF]
, 2022 Bu tez üç bölümden oluşmaktadır. Birinci bölüm giriş için ayrılmıştır ve konu ile ilgili genel bilgiler verilmiştir. İkinci bölümde tezde yararlanılacak bazı temel tanımlar ve teoremler verilmiştir. Baskakov ve Gamma operatörüne giriş yapılmıştır. Üçüncü
Erdoğan, Seda
core
A Korovkin type theorem for weighted spaces of continuous functions [PDF]
Bulletin of the Australian Mathematical Society, 1997 We prove a Korovkin type approximation theorem for positive linear operators on weighted spaces of continuous real-valued functions on a compact Hausdorff space X. These spaces comprise a variety of subspaces of C (X) with suitable locally convex topologies and were introduced by Nachbin 1967 and Prolla 1977.
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Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem [PDF]
Journal of Function Spaces, 2020 We define the notions of weightedλ,μ-statistical convergence of orderγ1,γ2and strongly weightedλ,μ-summability ofγ1,γ2for fuzzy double sequences, where0<γ1,γ2≤1. We establish an inclusion result and a theorem presenting a connection between these concepts.
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Universitas Scientiarum, 2020 In the present work, we introduce and study the notion of statistical probability convergence for sequences of random variables as well as the idea of statistical convergence for sequences of real numbers, which are defined over a Banach space via the product of deferred Cesàro and deferred weighted summability means.
Bidu Bhusan Jena, Susanta Kumar Paikray
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Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi +3 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman +5 more
wiley +1 more source
Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay +2 more
wiley +1 more source
Filomat, 2018 Statistical convergence was extended to weighted statistical convergence in [24], by using a sequence of real numbers sk, satisfying some conditions. Later, weighted statistical convergence was considered in [35] and [19] with modified conditions on sk. Weighted statistical convergence is an extension of statistical convergence in the sense
Aktuglu, Huseyin, Gezer, Halil
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