Results 71 to 80 of about 7,340,674 (138)
Approximation by ψ‐Baskakov‐Kantorovich Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu +2 more
wiley +1 more source
Some Korovkin-type theorems using multivariate power series technique
Journal of Inequalities and ApplicationsIn this note, we introduce a multivariate power series technique to test the statistical convergence of multiple sequences. Our primary goal is to establish a new multivariate Korovkin-type theorem based on this convergence approach.
Mrutyunjaya Meher, Prasanta Kumar Ray
doaj +1 more source
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley +1 more source
Journal of Mathematical Sciences and Modelling, 2019 In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj +1 more source
Approximation Theorems for Functions of Two Variables via σ-Convergence
Journal of Function Spaces, 2014 Çakan et al. (2006) introduced the concept of σ-convergence for double sequences. In this work, we use this notion to prove the Korovkin-type approximation theorem for functions of two variables by using the test functions 1, x, y, and x2+y2 and ...
Mohammed A. Alghamdi
doaj +1 more source
Generalized statistical summability of double sequences and Korovkin type approximation theorem [PDF]
, 2017 In this paper, we introduce the notion of statistical (λ, μ)-summability and find its relation with (λ, μ)-statistical convergence. We apply this new method to prove a Korovkin type approximation theorem for functions of two variables.
Mursaleen, M.
core +1 more source
Equi-Statistical Extension of the Korovkin Type Approximation Theorem [2]
, 2009 In this paper using equi-statistical convergence, which is stronger than the Usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem.
Demirci, Kamil, Karakus, Sevda
core
Korovkin-Type Theorems for Modular Ψ--Statistical Convergence
, 2020 We deal with a new type of statistical convergence for double sequences, called Ψ--statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces.
Carlo Bardaro +4 more
core
A Korovkin type approximation theorems via $\scr I$-convergence
, 1929 summary:Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line.
Duman, O., M. Chlodovsky
core +1 more source
Korovkin type theorem for functions of two variables via lacunary equistatistical convergence
, 2017 Aktu?lu and Gezer [1] introduced the concepts of lacunary equistatistical convergence, lacunary statistical pointwise convergence and lacunary statistical uniform convergence for sequences of functions.
M. Mursaleen
core +1 more source