Results 21 to 30 of about 153 (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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On a new family of generalized Bernstein operators [PDF]
, 2022 In this paper we remark that α-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the
TALPĂU DIMITRIU , Maria
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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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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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King-type operators related to squared Szász-Mirakyan basis [PDF]
, 2020 In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szász-Mirakyan basis and prove that these operators behave better than the classical Szász-Mirakyan operators.
HOLHOȘ, Adrian
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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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A discrete Stochastic Korovkin theorem
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 679-682, 1991., 1989 In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.
George A. Anastassiou
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, 2018 In this paper, linear positive Lupa¸s-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained.
BAȘCANBAZ-TUNCA, Gülen +2 more
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