Approximation of Functions of Two Variables by Certain Linear Positive Operators

Proceedings Mathematical Sciences

Fatma TaÅŸdelen³  Ali Olgun²  Gülen Bascanbaz-Tunca¹ 

[1] $$;Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahs¸ihan 0, Kirikkale, Turkey$$;Department of Mathematics, Faculty of Science, Ankara University, Tandogan 000, Ankara, Turkey$$

关键词: Linear positive operator;    modulus of continuity;    order of approximation;    polynomial weighted spaces.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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. We also find the order of this approximation by using modulus of continuity. Moreover we define an 𝑟th order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.

【 授权许可】

Unknown