Results 11 to 20 of about 165,977,978 (255)
Modulus of smoothness and theorems concerning approximation on compact groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson-type theorems.
H. Vaezi, S. F. Rzaev
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On Generalized Moduli of Quasi-Banach Space
Journal of Function Spaces, 2018 We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoothness, and modulus of Zou-Cui of quasi-Banach spaces and give some important properties of these moduli.
Young Chel Kwun +4 more
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Some Modulus and Normal Structure in Banach Space [PDF]
Journal of Inequalities and Applications, 2009 We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
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Global smoothness and approximation by generalized discrete singular operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2014 In this article we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to \(L_{p}\) norm for \( 1\leq p\leq \infty ,\) by involving ...
George A. Anastassiou, Merve Kester
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Generalized fractional smoothness and Lp-variation of BSDEs with non-Lipschitz terminal condition [PDF]
, 2012 We relate the $L_p$-variation, $2\le p < \infty$, of a solution of a backward stochastic differential equation with a path-dependent terminal condition to a generalized notion of fractional smoothness.
Gobet, Emmanuel +2 more
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
Moroccan Journal of Pure and Applied Analysis, 2021 This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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Generalized Modulus of Smoothness in Banach Spaces
Journal of Harbin University of Science and Technology, 2018 In order to study the geometric constants of Banach space，a new method is extended to study new constants by means of extending the modulus of smoothness to the generalized smooth mode.
ZHAO Liang, WANG Wei-wei, ZHANG Xing
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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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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
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