Results 21 to 30 of about 4,785 (285)
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
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Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators
Journal of Function Spaces, 2021 We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function.
Lahsen Aharouch +2 more
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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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A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces [PDF]
, 2021 In this paper we study approximation theorems for $L^2$-space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using spherical mean operator on Damek-Ricci spaces.
Kumar, Vishvesh +3 more
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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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A modulus of smoothness for some Banach function spaces
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.5 Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties. A constructive characterization of the Lipschitz class is obtained by using the Jackson-type direct theorem and inverse theorem of trigonometric ...
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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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Generalized Jacobian Weighted Modulus of Smoothness
Iraqi Journal of Science, 2023 The topic of modulus of smoothness still gets the interest of many researchers due to its applicable usage in different fields, especially for function approximation. In this paper, we define a new modulus of smoothness of weighted type. The properties of our modulus are studied.
Ahmad AbdulKarim Al-Dhahabi +1 more
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Influence of particle modulus (softness) and matrix rheology on the sensory experience of ‘grittiness’ and ‘smoothness’ [PDF]
, 2020 The perception of particles that arises during food oral processing, described using sensory terms such as gritty, powdery, chalky and rough, is critical to sensory perception and consumer satisfaction.
Shewan, Heather M. +2 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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