Results 1 to 10 of about 199 (62)

Statistical weighted A-summability with application to Korovkin’s type approximation theorem [PDF]

Journal of Inequalities and Applications, 2016
We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj   +2 more sources

Approximation by ( p , q ) -Lupaş-Schurer-Kantorovich operators. [PDF]

J Inequal Appl, 2018
In the current paper, we examine the (p,q) $(p,q)$-analogue of Kantorovich type Lupaş–Schurer operators with the help of (p,q) $(p,q)$-Jackson integral.
Kanat K, Sofyalıoğlu M.
europepmc   +2 more sources

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Journal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 more sources

A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu

Results in Applied Mathematics, 2021
In the present article we investigate a variant of the Kantorovich type modification defined by Kajla (2018) i.e. we introduce a function ζ(ϰ)in the operators defined by Kajla (2018) s.t.
Abhishek Kumar
doaj   +1 more source

TRIANGULAR A−STATISTICAL RELATIVE UNIFORM CONVERGENCE FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS [PDF]

, 2021
In this paper, we introduce the concept of triangular A-statistical relative convergence for double sequences of functions defined on a compactsubset of the real two-dimensional space.
Çınar, Selin
core   +1 more source

Generalization of Szász operators involving multiple Sheffer polynomials [PDF]

, 2023
The present work deals with the mathematical investigation of some generalizations of the Szász operators. In this work, the multiple Sheffer polynomials are introduced.
Ali, Mahvish, Paris, Richard B.
core   +2 more sources

Statistical Convergence via q-Calculus and a Korovkin’s Type Approximation Theorem

Axioms, 2022
In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Cesàro and statistically C1q-summable sequences.
Mohammad Ayman Mursaleen, Stefano Serra-Capizzano   +1 more
doaj   +1 more source

Statistical Korovkin-type theorem for monotone and sublinear operators [PDF]

, 2023
In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T.
core   +2 more sources

Gamma variant of (p, q) -Bernstein type novel operators [PDF]

Journal of Hyperstructures
In this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations.
Narendra Kurre
doaj   +1 more source

Approximation by Jakimovski–Leviatan-beta operators in weighted space

Advances in Difference Equations, 2020
The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of
M. Nasiruzzaman, M. Mursaleen
doaj   +1 more source