Further approximations on Durrmeyer modification of Szasz-Mirakjan operators

被引：2
|
作者：
Yadav, Rishikesh [1 ]
Meher, Ramakanta [1 ]
Mishra, Vishnu Narayan [2 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol Surat, Appl Math & Humanities Dept, Surat 395007, Gujarat, India
[2] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 13卷 / 05期
关键词：
Szasz-Mirakjan operators; rate of convergence; Peetres K-functional; function of bounded variation; CONVERGENCE;
D O I：
10.29020/nybg.ejpam.v13i5.3728
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the operators for the functions belonging to the different spaces. Here, the rate of convergence of the said operators is established by means of the function with derivative of the bounded variation. At last, the graphical analysis is discussed to support the approximation results of the operators.
引用
收藏
页码：1306 / 1324
页数：19
相关论文
共 50 条
  • [1] Approximation theorems for localized szasz-Mirakjan operators
    Xie, Linsen
    Xie, Tingfan
    JOURNAL OF APPROXIMATION THEORY, 2008, 152 (02) : 125 - 134
  • [2] On q-Parametric Szasz-Mirakjan Operators
    Mahmudov, Nazim I.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010, 7 (03) : 297 - 311
  • [3] Approximation on a new class of Szasz-Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties
    Mishra, Vishnu Narayan
    Yadav, Rishikesh
    GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (02) : 245 - 273
  • [4] Approximation by a generalization of Szasz-Mirakjan type operators
    Siddiqui, Mohammed Arif
    Gupta, Nandita
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (04): : 575 - 583
  • [5] A summation-integral type modification of Szasz-Mirakjan operators
    Mishra, Vishnu Narayan
    Gandhi, R. B.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) : 175 - 182
  • [6] Approximation by Associated GBS Operators of Szasz-Mirakjan Type Operators
    Yadav, Rishikesh
    Meher, Ramakanta
    Mishra, Vishnu Narayan
    FILOMAT, 2021, 35 (14) : 4789 - 4809
  • [7] Direct Result for a Summation-Integral Type Modification of Szasz-Mirakjan Operators
    Mishra, Vishnu Narayan
    Gandhi, R. B.
    ANALYSIS IN THEORY AND APPLICATIONS, 2020, 36 (02) : 217 - 224
  • [8] Local approximation results for Szasz-Mirakjan type operators
    Oezarslan, Mehmet Ali
    Duman, Oktay
    ARCHIV DER MATHEMATIK, 2008, 90 (02) : 144 - 149
  • [9] Local and global results for modified Szasz-Mirakjan operators
    Gandhi, R. B.
    Deepmala
    Mishra, Vishnu Narayan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2491 - 2504
  • [10] THE VORONOVSKAJA TYPE THEOREM FOR AN EXTENSION OF SZASZ-MIRAKJAN OPERATORS
    Pop, Ovidiu
    Barbosu, Dan
    Miclaus, Dan
    DEMONSTRATIO MATHEMATICA, 2012, 45 (01) : 107 - 115
12345