Results 41 to 50 of about 978 (120)
Best Approximation and Moduli of Smoothness [PDF]
, 2012 2010 Mathematics Subject Classification: 41A25, 41A10.The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation.
Dimova Zapryanova, Teodora
core
, 2014 In this paper, we discuss various properties of the new modulus of smoothness \[ \omega^\varphi_{k,r}(f^{(r)},t)_p := \sup_{0 < h\leq t}\|\mathcal W^r_{kh}(\cdot) \Delta_{h\varphi(\cdot)}^k (f^{(r)},\cdot)\|_{L_p[-1,1]}, \] where $\mathcal W_\delta(x) = \
Kopotun, K. A. +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 349-365, 1999., 1999 Potentially theoretical schemes in the fundamental solutions method will be proposed for Dirichlet problems of unbounded and bounded Jordan domains. The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of charge points.
Tetsuo Inoue
wiley +1 more source
Adsorption of binary polymer mixtures with different topology on a wall
Results in Physics, 2019 We consider a binary mixture of two polymers with different architecture, consisting of linear and cyclic chains. We study this system by performing extensive molecular dynamics computer simulations of bead-spring models, which possess the open-chain and
Francis M. Gaitho, Giuseppe Pellicane
doaj +1 more source
The Lower Estimate for Bernstein Operator [PDF]
, 2013 MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core
Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities
, 2010 We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.Comment: 13 pages ...
Lu, Wen-Ming, Zhang, Lin
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Faster approximation to multivariate functions by combined Bernstein-Taylor operators
Demonstratio MathematicaIn this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj +1 more source
Results in Physics, 2019 We propose a model of the fiber coupling efficiency for a partially coherent collimating laser beam propagating through turbulent biological tissue to fiber.
Qiyong Liang +5 more
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The Breadth-one $D$-invariant Polynomial Subspace [PDF]
, 2014 We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
core
Local and global results for modified Sz\'{a}sz - Mirakjan operators
, 2016 In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null +2 more
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