Results 31 to 40 of about 165,977,978 (255)
On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators
Journal 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
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Approximation of classes of functions defined by a generalized $r$-th modulus of smoothness
, 2012 In this paper, a $k$-th generalized modulus of smoothness is defined based on an asymmetric operator of generalized translation and a theorem is proved about the coincidence of class of functions defined by this modulus and a class of functions having given order of best approximation by algebraic polynomials.
Potapov, M. K., Berisha, F. M.
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Functions of Bounded kth p-Variation and Continuity Modulus
Journal of Function Spaces, 2015 A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
Odalis Mejía, Pilar Silvestre
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DOUBLE COSINE-SINE SERIES AND NIKOL'SKII CLASSES IN UNIFORM METRIC
Проблемы 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
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Approximation for a generalization of Bernstein operators
Journal 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
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
, 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
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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal 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
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Modular Critical Element Recycling Platform Using a Nanoporous Additively Manufactured Gyroid
Advanced Engineering Materials, EarlyView.A modular recycling platform integrates 3D‐printed nanoporous gyroid structures to enable efficient critical element recovery. This system utilizes a hierarchical architecture, combining macroscopic channels with polymerization‐induced nanoscale porosity. By systematically tuning structural wall thickness and resin formulation, the platform achieves an
Xiangyu Gao +6 more
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Equivalence of K-functionals and modulus of smoothness generated by the q-Dunkl operator
International Journal of Mathematical Analysis, 2019 In this paper, the equivalence between K-functionals and modulus of smoothness tied to a $ q $-Rubin operator was studied.
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
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