On Better Approximation of the Squared Bernstein Polynomials [PDF]
The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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Wavelets-Associated Approximation to the Family of New Class of q-Szász Operators Via q-Analog [PDF]
MSC2020 Classification: Primary 41A25, 41A36; Secondary 33C45.
Md. Nasiruzzaman +3 more
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A note on the convergence of Phillips operators by the sequence of functions via q-calculus
The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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Baskakov-Kantorovich operators reproducing affine functions
We present a new Kantorovich modification of Baskakov operators which reproduce affine functions. We present an upper estimate for the rate of convergence of the new operators in polynomial weighted spaces and characterize all functions for which there ...
BUSTAMANTE, Jorge
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Iterates of q-Bernstein operators on triangular domain with all curved sides
In this article, Phillips-type Bernstein operators (ℬm,qtF)(t,s)({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and (ℬn,qsF)(t,s)({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s), their products, and Boolean sum based on q-integer have been studied
Iliyas Mohammad +4 more
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About the B-concavity of functions with many variables
The paper deals with the study of the property of B-concavity and BB concavity in the bi-dimesional case and with the relation between these properties and the Bernstein operators defined on a simplex.
Meleşteu Alexandra Diana
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Approximation of conic sections by weighted Lupaş post-quantum Bézier curves
This paper deals with weighted Lupaş post-quantum Bernstein blending functions and Bézier curves constructed with the help of bases via (p,q)\left(p,q)-integers. These blending functions form normalized totally positive bases.
Khan Asif +3 more
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Dunkl analogue of Szász-mirakjan operators of blending type
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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Statistical approximation properties of λ-Bernstein operators based on q-integers
In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
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