Results 81 to 90 of about 12,005 (284)
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 Functional Materials, EarlyView.A Cu‐based crystal‐glass composite with high‐density twins is identified by a fast screening technique using combinatorial sputtering together with XRD and nanoindentation mapping. This bamboo‐like structure demonstrates homogenous plastic flow and retains high strength during in situ high temperature tests, up to 1 GPa at 550°C, owing to those ...
Chunhua Tian +10 more
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Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces
Demonstratio MathematicaThis study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
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Lp - Approximation by Iterates of Certain Summation-Integral Type Operators [PDF]
Surveys in Mathematics and its Applications, 2016 The present paper is a study of Lp- approximation in terms of higher order integral modulus of smoothness for an iterative combination due to Micchelli, of certain summation-integral type operators using the device of Steklov means.
Karunesh Kumar Singh , P. N. Agrawal
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A modulus of smoothness based on an algebraic addition
Aequationes Mathematicae, 1997 The Bernstein-Jackson theorems relate the smoothness of a \(2\pi\)-periodic function \(f\) to the rapidity of convergence to \(f\) of, \(t_n\), the best approximation to \(f\) from the trigonometric polynomials of degree \(n\) or less. This paper defines a new modulus of continuity, \(w(f)\), for the function \(f\) defined on \([-1,1]\) so that a ...
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Bio‐Inspired Molecular Events in Poly(Ionic Liquids)
Advanced Functional Materials, EarlyView.Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
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Advances in Mechanical EngineeringIn this study, a granular extrusion system comprising of a screw and cylinder was used to fabricate 3D-printed parts with Acrylonitrile butadiene styrene (ABS) material.
Mohammad Mahdi Salehi +1 more
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The Bézier variant of Kantorovich type λ-Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
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Dual‐Ligand Metal‐Organic Frameworks via In Situ Amidoxime Engineering for Selective Ion Separation
Advanced Functional Materials, EarlyView.Inspired by microbial ion‐trapping mechanisms, a mild and universal strategy is developed to construct highly porous amidoxime‐functionalized MOFs. DFT calculations and molecular force measurements reveal that the dual‐ligand amidoxime configuration significantly strengthens Ga(III) affinity.
Zhifang Lv +9 more
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