Results 11 to 20 of about 639 (129)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 459-468, 2004., 2004 We consider a Bézier‐Durrmeyer integral variant of the Baskakov operators and study the rate of convergence for functions of bounded variation.
Vijay Gupta, Ulrich Abel
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Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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A note on integral modification of the Meyer‐König and Zeller operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 2003-2009, 2003., 2003 Guo (1988) introduced the integral modification of Meyer‐Kö nig and Zeller operators Mˆn and studied the rate of convergence for functions of bounded variation. Gupta (1995) gave the sharp estimate for the operators Mˆn. Zeng (1998) gave the exact bound and claimed to improve the results of Guo and Gupta, but there is a major mistake in the paper of ...
Vijay Gupta, Niraj Kumar
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Durrmeyer type (p,q)-Baskakov operators preserving linear functions
, 2018 The present paper deals with the construction of Baskakov Durrmeyer operators, which preserve the linear functions, in (p,q) -calculus. More precisely, using (p,q) -Gamma function we introduce genuine mixed type Baskakov Durrmeyer operators having ...
S. A. Mohiuddine, A. Alotaibi, T. Acar
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Positive operators and approximation in function spaces on completely regular spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3841-3871, 2003., 2003 We discuss the approximation properties of nets of positive linear operators acting on function spaces defined on Hausdorff completely regular spaces. A particular attention is devoted to positive operators which are defined in terms of integrals with respect to a given family of Borel measures.
Francesco Altomare, Sabrina Diomede
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A pointwise approximation theorem for linear combinations of Bernstein polynomials
Abstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996 Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
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Statistical approximation by Kantorovich-type discrete q-Betaoperators
, 2013 The aim of the present paper is to introduce a Kantorovich-type modification ofthe q-discrete beta operators and to investigate their statistical andweighted statistical approximation properties. Rates of statistical convergenceby means of the modulus of
V. Mishra, K. Khatri, L. Mishra
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Abstract Korovkin theory for double sequences via power series method in modular spaces
Operators and Matrices, 2019 KOROVKIN THEORY FOR DOUBLE SEQUENCES VIA POWER SERIES METHOD IN MODULAR SPACES FADIME DIRIK, SEVDA YILDIZ AND KAMIL DEMIRCI Abstract. In the present paper, we obtain an abstract version of the Korovkin type approximation theorems for double sequences of ...
F. Dirik, S. Yıldız, K. Demirci
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Properties of the modulus of continuity for monotonous convex functions and applications
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 443-446, 1995., 1992 For a monotone convex function f ∈ C[a, b] we prove that the modulus of continuity w(f; h) is concave on [a, b] as function of h. Applications to approximation theory are obtained.
Sorin Gheorghe Gal
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Statistical summability (C,1) and a Korovkin type approximation theorem
, 2012 The concept of statistical summability (C,1) has recently been introduced by Móricz [Jour. Math. Anal. Appl. 275, 277-287 (2002)]. In this paper, we use this notion of summability to prove the Korovkin type approximation theorem by using the test ...
S. A. Mohiuddine +2 more
semanticscholar +1 more source