Results 41 to 50 of about 639 (129)

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  

q-analogue of Mittag-Leffler operators

, 2017
In this paper, we study q extension of Mittag-Leffler operators. We establish moments of these operators and estimate convergence results with the help of classical modulus of continuity.
Gürhan Içöz, Bayram Çekım
semanticscholar   +1 more source

On approximation properties of generalized q-Bernstein-Kantorovich operators

Journal of Classical Analysis, 2019
In this paper, we develop a generalization of q -Bernstein-Kantorovich type operators. We first study some fundamental properties of these operators and then investigate approximation properties of a sequence of these operators using Korovkin theorem ...
L. Mishra, Dhawal J. Bhatt
semanticscholar   +1 more source

On the continuity in q of the family of the limit q-Durrmeyer operators

Demonstratio Mathematica
This study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel, Ostrovska Sofiya, Turan Mehmet   +2 more
doaj   +1 more source

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
doaj   +1 more source

Some statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators

, 2014
In this paper two kinds of Kantorovich-type q-Bernstein-Stancu operators are introduced, and the statistical approximation properties of these operators are investigated.
Mei-ying Ren, Xiao-Ming Zeng
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Some approximation properties of a kind of q-Gamma-Stancu operators

, 2014
In this paper we propose the Stancu type generalization of a kind of q-Gamma operators. We estimate the moments of these operators and establish two direct and local approximation theorems of the operators.
Chong Zhao, Wen-Tao Cheng, Xiao-Ming Zeng   +2 more
semanticscholar   +1 more source