On Stancu type Szasz-Mirakyan-Durrmeyer Operators Preserving e2ax,a > 0

被引：2
作者：
Kanat, Kadir [1 ]
Sofyalioglu, Melek [1 ]
机构：
[1] Ankara Haci Bayram Veil Univ, Polatli Sci & Arts Fac, Dept Math, TR-06900 Ankara, Turkey
来源：
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2021年 / 34卷 / 01期
关键词：
Exponential functions; Voronovskaya-type theorem; Modulus of Continuity; APPROXIMATION;
D O I：
10.35378/gujs.691419
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The present paper deals with the Szasz-Mirakyan-Durrmeyer-Stancu operators preserving e(2ax) for a>0. The uniform convergence of the constructed operators is mentioned in this paper. The rate of convergence is examined by employing two different modulus of continuities. After that, a Voronovskaya-type theorem is investigated for quantitative asymptotic estimation. Finally, a comparison is made theoretically to show that the new constructed operators perform well.
引用
收藏
页码：196 / 209
页数：14
相关论文
共 13 条
  • [1] Szasz-Mirakyan Type Operators Which Fix Exponentials
    Acar, Tuncer
    Aral, Ali
    Cardenas-Morales, Daniel
    Garrancho, Pedro
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (03) : 1393 - 1404
  • [2] Acar T, 2017, MEDITERR J MATH, V14, DOI 10.1007/s00009-016-0804-7
  • [3] [Anonymous], 2013, ANAL THEORY APPL
  • [4] Approximation properties of Szasz-Mirakyan operators preserving exponential functions
    Aral, Ali
    Inoan, Daniela
    Rasa, Ioan
    [J]. POSITIVITY, 2019, 23 (01) : 233 - 246
  • [5] Bodur M., 2018, Constr. Math. Anal, V1, P1
  • [6] Boyanov BD., 1970, B MATH SOC SCI MATH, V14, P9
  • [7] Note on Szasz-Mirakyan-Durrmeyer Operators Preserving e2ax, a > 0
    Deniz, Emre
    Aral, Ali
    Gupta, Vijay
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (02) : 201 - 207
  • [8] DeVore R. A., 1993, CONSTR APPROX, P177
  • [9] On Baskakov-Szasz-Mirakyan-type operators preserving exponential type functions
    Gupta, Vijay
    Acu, Ana Maria
    [J]. POSITIVITY, 2018, 22 (03) : 919 - 929
  • [10] Gupta V, 2018, POSITIVITY, V22, P415, DOI 10.1007/s11117-017-0518-5
12