Weighted Statistical Relative Invariant Mean in Modular Function Spaces with Related approximation Results
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2018.1470096
Abstract: Abstract The idea of statistical relative convergence on modular spaces has been introduced by Orhan and Demirci. The notion of σ-statistical convergence was introduced by Mursaleen and Edely and further extended based on a fractional… read more here.
Keywords: approximation; statistical relative; weighted statistical; approximation results ... See more keywords
Better approximation results by Bernstein–Kantorovich operators
Sign Up to like & getrecommendations! Published in 2017 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080217010085
Abstract: In this paper, we give a King-type modification of the Bernstein–Kantorovich operators and study the approximation properties of these operators. We prove that the error estimation of these operators is better than the classical Bernstein–Kantorovich… read more here.
Keywords: kantorovich operators; better approximation; operators better; approximation results ... See more keywords
Approximation results on Dunkl generalization of Phillips operators via q-calculus
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DOI: 10.1186/s13662-019-2178-1
Abstract: The main purpose of this paper is to construct q-Phillips operators generated by Dunkl generalization. We prove several results of Korovkin type and estimate the order of convergence in terms of several moduli of continuity. read more here.
Keywords: results dunkl; dunkl generalization; approximation results; phillips operators ... See more keywords
Some Approximation Results For (p, q)-Lupas-Schurer Operators
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DOI: 10.2298/fil1801217k
Abstract: In this paper, we introduce Lupas-Schurer operators based on (p,q)-integers. Then, we deal with the approximation properties for (p,q)-Lupas-Schurer operators based on Korovkin type approximation theorem. Moreover, we compute rate of convergence by using modulus… read more here.
Keywords: results lupas; lupas schurer; schurer operators; approximation results ... See more keywords