Results 21 to 30 of about 165 (152)
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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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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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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Strong Converse Result for Baskakov Operator [PDF]
, 2014 [Gadjev Ivan; Гаджев Иван]2010 Mathematics Subject Classification: 41A36, 41A25, 41A27 ...
Gadjev, Ivan
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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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On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
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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 Korovkin-type theorem for monotone and sublinear operators
, 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., Ionut T. Iancu
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Bernstein-type operators on elliptic domain and their interpolation properties
Demonstratio Mathematica, 2023 The aim of this article is to construct univariate Bernstein-type operators (ℬmxG)(x,z)\left({{\mathcal{ {\mathcal B} }}}_{m}^{x}G)\left(x,z) and (ℬnzG)(x,z),\left({{\mathcal{ {\mathcal B} }}}_{n}^{z}G)\left(x,z), their products (PmnG)(x,z)\left ...
Iliyas Mohammad +2 more
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A method of summability of Lagrange interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 19-25, 1994., 1992 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference
Detlef H. Mache
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