Results 31 to 40 of about 165,936,345 (87)
Lp‐Approximation (p ≥ 1) by q‐Kantorovich Operators
Journal of Operators, Volume 2014, Issue 1, 2014., 2014 For a new q‐Kantorovich operator we establish direct approximation theorems in the space Lp[0,1], 1 ≤ p ≤ ∞, via Ditzian‐Totik modulus of smoothness of second order.
Zoltán Finta, Claudio H. Morales
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Some Approximation Properties of q‐Baskakov‐Beta‐Stancu Type Operators
Journal of Calculus of Variations, Volume 2013, Issue 1, 2013., 2013 This paper deals with new type q‐Baskakov‐Beta‐Stancu operators defined in the paper. First, we have used the properties of q‐integral to establish the moments of these operators. We also obtain some approximation properties and asymptotic formulae for these operators. In the end we have also presented better error estimations for the q‐operators.
Vishnu Narayan Mishra +3 more
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Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained. The obtained results not only generalize the corresponding
Jianjun Wang +3 more
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Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang +4 more
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On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials [PDF]
, 2019 In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ...
Mursaleen, Mohammad +2 more
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Pointwise Estimate for Szasz-Type Operators [PDF]
, 1998 For combinations of modified Szasz operators D. X. Zhou gave two equivalent relations by means of the classical modulus.
Guo, Shunsheng +4 more
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Approximation and Orthogonality on Fully Symmetric Domains
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
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Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 Using the equivalence relation between K‐functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a ...
Jianjun Wang +3 more
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Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman +4 more
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Approximation and Shape Preserving Properties of the Bernstein Operator of Max‐Product Kind
International Journal of Mathematics and Mathematical Sciences, Volume 2009, Issue 1, 2009., 2009 Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation order by this operator is raised.
Barnabás Bede +3 more
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