Results 31 to 40 of about 124 (109)
Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
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On the degree of approximation of the Hermite and Hermite‐Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 47-56, 1992., 1991 Here we find the order of convergence of the Hermite and Hermite‐Fejér interpolation polynomials constructed on the zeros of (1 − x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1) = 1.
J. Prasad
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Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Demonstratio MathematicaIn the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo +2 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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Euler‐type approximation for systems of stochastic differential equations
International Journal of Stochastic Analysis, Volume 2, Issue 4, Page 239-249, 1989., 1989 By developing a stochastic version of the Taylor formula, the mean‐square convergence of the Euler‐type approximation for the solution of systems of Itô‐type stochastic differential equations is investigated. Sufficient conditions are given to obtain time‐varying and time‐invariant error estimates.
J. Golec, G. Ladde
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Modifikasi metode iterasi berorde tiga dengan orde konvergensi optimal
Majalah Ilmiah Matematika dan Statistika, 2023 Weerakoon-Fernando’s and Homeier’s methods are a third-order iterative method to solve nonlinear equations. A new third-order iterative method is constructed by sum of Weerakoon-Fernandon’s and Homeier’s method. This paper discusses the modification of
Annisa Agustina, Wartono Wartono
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Demonstratio MathematicaIt is of strong theoretical significance and application prospects to explore three-block nonconvex optimization with nonseparable structure, which are often modeled for many problems in machine learning, statistics, and image and signal processing.
Zhao Ying, Lan Heng-you, Xu Hai-yang
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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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(λ, ψ)-Bernstein-Kantorovich operators
Demonstratio MathematicaIn this article, we introduce a new family of (λ,ψ)\left(\lambda ,\psi )-Bernstein-Kantorovich operators which depends on a parameter λ\lambda , derived from the basis functions of Bézier curves and an integrable function ψ\psi .
Aktuğlu Hüseyin +3 more
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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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