Results 21 to 30 of about 33,187 (303)
On Fractional Smoothness of Modulus of Functions
Annals of Applied Mathematics, 2021 We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary.
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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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Journal of Mathematics, 2022 We construct a novel family of summation-integral-type hybrid operators in terms of shape parameter α∈0,1 in this paper. Basic estimates, rate of convergence, and order of approximation are also studied using the Korovkin theorem and the modulus of ...
Ming-Yu Chen +4 more
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On moduli of smoothness of fractional order [PDF]
, 2005 In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some ...
Tikhonov, Sergey Yu. +1 more
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مجلة بغداد للعلوم, 2022 In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed.
Habeeb A. Aal-Rkhais +2 more
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Approximation properties of generalized Baskakov operators
AIMS Mathematics, 2021 The present article is a continuation of the work done by Aral and Erbay [1]. We discuss the rate of convergence of the generalized Baskakov operators considered in the above paper with the aid of the second order modulus of continuity and the unified ...
Purshottam Narain Agrawal +2 more
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Optimal inference in a class of regression models [PDF]
, 2016 We consider the problem of constructing confidence intervals (CIs) for a linear functional of a regression function, such as its value at a point, the regression discontinuity parameter, or a regression coefficient in a linear or partly linear regression.
Armstrong, Timothy B., Kolesár, Michal
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Some Moduli of Angles in Banach Spaces
Mathematics, 2022 In this paper, we mainly discuss the angle modulus of convexity δXa(ϵ) and the angle modulus of smoothness ρXa(ϵ) in a real normed linear space X, which are closely related to the classical modulus of convexity δX(ϵ) and the modulus of smoothness ρX(ϵ ...
Dandan Du +3 more
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Critical Keller-Segel meets Burgers on ${\mathbb S}^1$: large-time smooth solutions [PDF]
, 2016 We show that solutions to the parabolic-elliptic Keller-Segel system on ${\mathbb S}^1$ with critical fractional diffusion $(-\Delta)^\frac{1}{2}$ remain smooth for any initial data and any positive time. This disproves, at least in the periodic setting,
Burczak, Jan, Granero-Belinchón, Rafael
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Some Modulus and Normal Structure in Banach Space
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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