Results 61 to 70 of about 4,785 (285)
More on convexity and smoothness of operators [PDF]
, 2010 Let X and Y be Banach spaces and T:Y→X be a bounded operator. In this note, we show first some operator versions of the dual relation between q-convexity and p-smoothness of Banach spaces case.
Cheng, Qingjin, Cheng, Lixin
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Best Approximation of Unbounded Functions by Modulus of Smoothness
European Journal of Pure and Applied Mathematics, 2023 In this paper, we study the approximation of unbounded functions in a weighted space by modulus of smoothness using various linear operators. We establish direct theorems for such approximations and analyze the properties of the modulus of smoothness within the same space.
Alaa Adnan Auad +2 more
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
Global Smoothness Of Approximating Functions [PDF]
, 1991 We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf).
Anastassiou, George A. +2 more
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Experimental Characterization of Mycelium‐Based Composites Under Multiple Loading Conditions
Advanced Engineering Materials, EarlyView.This study examines the mechanical response of mycelium‐based composites under compression, shear, and tension using mechanical testing and imaging methods. The comparison between unpressed and hot‐pressed specimens shows that hot pressing is associated with higher compression and shear stiffnesses.
Shaghayegh Elahi +5 more
wiley +1 more source
Journal of Kufa for Mathematics and Computer, 2023 The main purpose of this research is to study the degree of the best multiplier approximation of monotone unbounded functions in space, where by spline polynomials in terms of averaged multiplier modulus smoothness using some definitions and ...
Hasan Maktoof +2 more
doaj +1 more source
A Modulus of Continuity for a Class of Quasi-Smooth Functions [PDF]
Proceedings of the American Mathematical Society, 1985 Let Z be the Zygmund class of functions f on [-1,1] such that \(f(- 1)=f(1)=0\) and \(| \Delta^ 2_ hf| \leq 2h.\) Let \(\omega (h)=\sup_{f\in Z}\sup_{| x-y| \leq h}| f(x)-f(y)|.\) Theorem. \[ \omega (h)\leq h \log_ 2\{2eK/(h \log_ 2 e)\}; \] here \(K=\sup_{f\in Z}\sup_{x}| f(x)\). A preceding result of \textit{A. F. Timan} [Izv. Akad.
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Advanced Engineering Materials, EarlyView.This work shows that the mechanical performance of multimaterial digital light processing (DLP) printed thermoset composites is governed by resin compatibility and interfacial design rather than spatial patterning alone. Brittle and ductile resin combinations produced premature interfacial failure, while graded interfaces and mechanically compatible ...
Ahmed M. H. Ibrahim +3 more
wiley +1 more source
Convexity, smoothness and moduli [PDF]
, 2009 We study a modulus, connected with smoothness of Banach spaces, already considered in the literature but not studied in details until ...
PAPINI, PIER LUIGI, M. Baronti
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Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
Advanced Engineering Materials, EarlyView.This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
wiley +1 more source