Results 41 to 50 of about 93,097 (321)
Approximation of functions of two variables by certain linear positive operators
, 2007 We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables.
Bascanbaz-Tunca, Gulen +2 more
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Bernstein Polynomials and Modulus of Continuity
Journal of Approximation Theory, 2000 The author describes several properties related to the first order modulus of continuity, which are preserved by the operator given by Bernstein polynomials. Let the function \(\omega(t)\) on \([0,1]\) be a modulus of continuity. By \(H^\omega\) we denote the class of continuous functions on \([0,1]\) satisfying the inequality \(\omega(f,t)\leq\omega(t)
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This study explores the mechanical performance of three auxetic structures, identifying a re‐entrant‐star hybrid as the most effective for impact absorption. Finite element simulations and experiments demonstrate significant gains in energy absorption and flexural strength after geometric optimization. This study investigates the mechanical performance
Malik Hassan +4 more
wiley +1 more source
Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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Estimates of the error of interval quadrature formulas on some classes of differentiable functions
Researches in Mathematics, 2020 The exact value of error of interval quadrature formulas $$\int_0^{2\pi}f(t)dt -\frac{\pi}{nh}\sum_{k=0}^{n-1}\int_{-h}^hf(t+\frac {2k\pi}{n})dt = R_n(f;\vec{c_0};\vec{x_0};h)$$ obtained for the classes $W^rH^{\omega} (r=1,2,...)$ of differentiable ...
V.P. Motornyi, D.A. Ovsyannikov
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A note on the norm convergence by Vilenkin-Fej\'er means
, 2014 The main aim of this paper is to find necessary and sufficient conditions for the convergence of Fej\'er means in terms of the modulus of continuity on the Hardy spaces $H_{p},$ when ...
Tephnadze, George
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Laser Metal Deposited Ti4822 Hollow Pipe: Experimental and Computational Modelling Study
Advanced Engineering Materials, EarlyView.Laser metal deposition (LMD) of a crack‐free built Ti4822 alloys is challenging. This article reports outstanding characteristics of a hollow pipe that is built with LMD technology when a predicted, nontransformation substrate temperature of 800 °C is used.
Sadiq A. Raji +5 more
wiley +1 more source
Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators
Demonstratio Mathematica, 2017 In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad +2 more
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Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials
Advances in Difference Equations, 2020 In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces.
K. J. Ansari +3 more
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
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