Results 51 to 60 of about 165 (152)

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
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A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]

, 2006
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
core  

On a new family of generalized Bernstein operators

, 2022
In this paper we remark that α-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the
TALPĂU DIMITRIU , Maria
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Approximation process of a positive linear operator of hypergeometric type

Demonstratio Mathematica
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
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On Kantorovich variant of Brass-Stancu operators

Demonstratio Mathematica
In this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat, Bostancı Tuğba, Başcanbaz-Tunca Gülen   +2 more
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Transformation of the second order modulus by positive linear operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
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Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]

, 2010
2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Duman, Oktay, Anastassiou, George A.
core  

On Lupaș-Jain operators

, 2018
In this paper, linear positive Lupa¸s-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained.
BAȘCANBAZ-TUNCA, Gülen, BODUR, Murat, SÖYLEMEZ, Dilek   +2 more
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Direct and Converse Theorems for Generalized Bernstein-Type Operators [PDF]

, 2004
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators.
Finta, Zoltán
core  

A new kind of Durrmeyer-Stancu-type operators

Demonstratio Mathematica
The objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-
Cai Qing-Bo, Güngör Şule Yüksel, Çekim Bayram   +2 more
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