Results 21 to 30 of about 173,324,808 (230)

Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)

open access: yes, 2021
In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
core   +1 more source

On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators

open access: yesJournal of Function Spaces, 2020
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
doaj   +1 more source

DOUBLE COSINE-SINE SERIES AND NIKOL'SKII CLASSES IN UNIFORM METRIC

open access: yesПроблемы анализа, 2019
In the this paper, we give neccessary and sufficient conditions for a function even with respect to the first argument but odd with respect to the second one to belong to the Nikol’skii classes defined by a mixed modulus of smoothness of a mixed ...
S. S. Volosivets
doaj   +1 more source

Approximation for a generalization of Bernstein operators

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).
Guofen Liu, Xiuzhong Yang
doaj   +1 more source

On the approximation by trigonometric polynomials in weighted Lorentz spaces

open access: yesJournal of Function Spaces and Applications, 2010
We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best ...
Vakhtang Kokilashvili, Yunus E. Yildirir
doaj   +1 more source

Laser‐Induced Graphene from Waste Almond Shells

open access: yesAdvanced Functional Materials, EarlyView.
Almond shells, an abundant agricultural by‐product, are repurposed to create a fully bioderived almond shell/chitosan composite (ASC) degradable in soil. ASC is converted into laser‐induced graphene (LIG) by laser scribing and proposed as a substrate for transient electronics.
Yulia Steksova   +9 more
wiley   +1 more source

Global Smoothness Preservation and Simultaneous Approximation by Generalized Discrete Singular Operators

open access: yes, 2017
In this chapter we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to Lp-norm for 1 ≤ p ≤ ∞, by involving higher order moduli of ...
Kester, Merve, Anastassiou, George A.
core   +1 more source

Advances in Sustainable and Wearable Textile Based Soft Robotics

open access: yesAdvanced Functional Materials, EarlyView.
This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas   +6 more
wiley   +1 more source

Dynamically Actuated Reconfigurable Topographical Surface Enables Active Control of Implant‐Associated Infections

open access: yesAdvanced Functional Materials, EarlyView.
A dynamically actuated reconfigurable topographical surface (DARTS) integrates contact‐mediated bactericidal nanotopography with programmable mechanical actuation to actively disrupt bacterial biofilms. Dynamic surface reconfiguration enhances bacterial killing and suppresses implant‐associated infections in vivo, providing a new strategy for active ...
Mohammad Asadi Tokmedash   +4 more
wiley   +1 more source

Geometric characterization of generalized Hajłasz-Sobolev embedding domains

open access: yesAdvances in Nonlinear Analysis
In this article, the authors study the embedding properties of Hajłasz-Sobolev spaces with generalized smoothness on Euclidean domains, whose regularity is described via a smoothness weight function ϕ:[0,∞)→[0,∞)\phi :\left[0,\infty )\to \left[0,\infty ).
Li Ziwei, Yang Dachun, Yuan Wen
doaj   +1 more source

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