Results 61 to 70 of about 1,464 (150)
A new kind of Durrmeyer-Stancu-type operators
Demonstratio MathematicaThe objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-
Cai Qing-Bo +2 more
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Best Approximation and Moduli of Smoothness [PDF]
, 2012 2010 Mathematics Subject Classification: 41A25, 41A10.The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation.
Dimova Zapryanova, Teodora
core
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
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Korovkin type approximation theorem for functions of two variables through statistical A-summability
, 2012 In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A-summability. We also study the rate of statistical A-summability of positive linear operators.
M. Mursaleen, A. Alotaibi
semanticscholar +1 more source
, 2014 In this paper, we discuss various properties of the new modulus of smoothness \[ \omega^\varphi_{k,r}(f^{(r)},t)_p := \sup_{0 < h\leq t}\|\mathcal W^r_{kh}(\cdot) \Delta_{h\varphi(\cdot)}^k (f^{(r)},\cdot)\|_{L_p[-1,1]}, \] where $\mathcal W_\delta(x) = \
Kopotun, K. A. +2 more
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Local approximation behavior of modified SMK operators
, 2010 In this paper, for a general modification of the classical Szász–Mirakjan–Kantorovich operators, we obtain many local approximation results including the classical cases. In particular, we obtain a Korovkin theorem, a Voronovskaya theorem, and some local
M. A. Özarslan, O. Duman
semanticscholar +1 more source
Approximation properties of complex q-Balázs-Szabados operators in compact disks
, 2013 This paper deals with approximating properties and convergence results of the complex q-Balázs-Szabados operators attached to analytic functions on compact disks.
N. Ispir, Esma Yıldız Özkan
semanticscholar +1 more source
On the generalized Mellin integral operators
Demonstratio MathematicaIn this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
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The Lower Estimate for Bernstein Operator [PDF]
, 2013 MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core
The Bézier variant of Lupas Kantorovich operators based on Polya distribution
, 2018 In this paper we introduce the Bézier variant of Lupas Kantorovich operators based on Polya distribution. We establish a direct approximation by means of the Ditzian-Totik modulus of smoothness and a global approximation theorem in terms of second order ...
Bo-Yong Lian, Qingbo Cai
semanticscholar +1 more source