Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
We introduce the notion of ideally relative uniform convergence of sequences of real valued
functions. We then apply this notion to prove Korovkin-type approximation theorem, and then …
functions. We then apply this notion to prove Korovkin-type approximation theorem, and then …
Statistical weighted B-summability and its applications to approximation theorems
In this paper, which deals essentially with various summability concepts and summability
techniques and shows how these concepts and techniques lead to a number of …
techniques and shows how these concepts and techniques lead to a number of …
Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems
In this paper, we propose to introduce a new Λ 2-weighted statistical convergence. Based
upon this definition, we prove some Korovkin type theorems. We also find the rate of the …
upon this definition, we prove some Korovkin type theorems. We also find the rate of the …
Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
Statistical convergence has recently attracted the wide-spread attention of researchers due
mainly to the fact that it is more general than the classical convergence. Furthermore, the …
mainly to the fact that it is more general than the classical convergence. Furthermore, the …
Lacunary statistical convergence and strongly lacunary summable functions of order 𝛼
HM Srivastava, M Et - Filomat, 2017 - JSTOR
The main purpose of this paper is to introduce and investigate the concepts of lacunary
strong summability of order 𝛼 and lacunary statistical convergence of order 𝛼 of real-valued …
strong summability of order 𝛼 and lacunary statistical convergence of order 𝛼 of real-valued …
Approximation process based on parametric generalization of Schurer–Kantorovich operators and their bivariate form
M Nasiruzzaman, HM Srivastava… - Proceedings of the …, 2023 - Springer
Abstract We construct the Schurer–Kantorovich operators depending on the shape
parameter α∈[0, 1] which we called α-Schurer–Kantorovich operators, and estimate their …
parameter α∈[0, 1] which we called α-Schurer–Kantorovich operators, and estimate their …
A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
The subject of statistical convergence has attracted a remarkably large number of
researchers due mainly to the fact that it is more general than the well‐established theory of …
researchers due mainly to the fact that it is more general than the well‐established theory of …
[HTML][HTML] Generalized equi-statistical convergence of positive linear operators and associated approximation theorems
The concepts of equi-statistical convergence, statistical pointwise convergence and
statistical uniform convergence for sequences of functions were introduced recently by …
statistical uniform convergence for sequences of functions were introduced recently by …
Statistical deferred Cesàro summability and its applications to approximation theorems
BB Jena, SK Paikray, U Misra - Filomat, 2018 - doiserbia.nb.rs
Statistical (C, 1) summability and a Korovkin type approximation theorem has been proved
by Mohiuddine et al.[20](see [SA Mohiuddine, A. Alotaibi and M. Mursaleen, Statistical …
by Mohiuddine et al.[20](see [SA Mohiuddine, A. Alotaibi and M. Mursaleen, Statistical …
Deferred weighted 𝒜-statistical convergence based upon the (p,q)-Lagrange polynomials and its applications to approximation theorems
Recently, the notion of positive linear operators by means of basic (or q-) Lagrange
polynomials and 𝒜-statistical convergence was introduced and studied in [M. Mursaleen, A …
polynomials and 𝒜-statistical convergence was introduced and studied in [M. Mursaleen, A …