Results 81 to 90 of about 1,445 (159)
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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Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]
, 2010 2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Anastassiou, George A., Duman, Oktay
core
Statistical Deferred Nörlund Summability and Korovkin-Type Approximation Theorem
Mathematics, 2020 The concept of the deferred Nörlund equi-statistical convergence was introduced and studied by Srivastava et al. [Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. (RACSAM) 112 (2018), 1487–1501].
Hari Mohan Srivastava +2 more
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Some Applications of New Modified q-Integral Type Operators
International Journal of Mathematics and Mathematical Sciences, 2015 We introduce a new sequence of q-integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval.
R. P. Pathak, Shiv Kumar Sahoo
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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.
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Statistical Approximation for Periodic Functions of Two Variables
Journal of Function Spaces and Applications, 2013 We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability (C,1,1). We also study the rate of statistical summability (C,1,1) of positive linear operators. Finally we construct an example
Abdullah Alotaibi +2 more
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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
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Unique Hahn-Banach extensions and Korovkin’s theorem [PDF]
Proceedings of the American Mathematical Society, 1975 This paper characterizes in terms of weak topologies those bounded linear functionals on a subspace which have unique Hahn-Banach extensions to the whole linear normed space. The relationship to the Choquet boundary is discussed, and a Korovkin type theorem is obtained.
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A Korovkin Theorem for Abstract Lebesgue Spaces
Journal of Approximation Theory, 2000 Let \(E\) be an AL-space (a Kakutani abstract L-space) with a generalized weak unit \(\{e_n\}\). The theorem proved here is a little stronger then the following. Theorem: Let \(\{T_i\}\) be a sequence of norm one operators defined on \(E\). Let \(L=\{ f\in E: T_if\) converges weakly to \(f\}\), and \(N=\{f\in E: T_if\) converges in norm to \(f\}\). If,
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Journal of Inequalities and ApplicationsIn this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su +3 more
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