Results 1 to 10 of about 173,324,808 (230)
Demonstratio Mathematica, 2017 The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent.
Jafarov Sadulla Z.
doaj +4 more sources
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
doaj +3 more sources
Application of a New Class of Characteristic Function
Journal of Harbin University of Science and Technology, 2021 In Banach space，considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ，the independent variable is t，and the domain is ［0，+ ∞ ) ，and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj +1 more source
Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity
Journal of Harbin University of Science and Technology, 2020 Based on the definitions of generalized modulus of smoothness, the relation between generalized modulus of smoothness and t in the Banach spaces is studied, which proves three equivalent conditions of uniform normal structure and four equivalent ...
ZHAO Liang, YU Yang
doaj +1 more source
Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we have solved several extremal problems of the best mean-square approximation of functions f on the semiaxis with a power-law weight.
T.E. Tileubayev
doaj +1 more source
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.
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
doaj +1 more source
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
doaj +1 more source