Approximation Properties of Generalized Jain Operators

被引:7
|
作者
Dogru, O. [1 ]
Mohapatra, R. N. [2 ]
Orkcu, M. [1 ]
机构
[1] Gazi Univ, Dept Math, Fac Sci, Ankara, Turkey
[2] Univ Cent Florida, Orlando, FL 32816 USA
关键词
Jain Operators; K-functional; Statistical convergence; Modulus of smoothness; MIRAKJAN TYPE OPERATORS;
D O I
10.2298/FIL1609359D
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate a variant of the Jain operators, which preserve the linear functions. We compute the rate of convergence of these operators with the help of K-functional. We also introduce modifications of the Jain operators based on the models in [4] and [10]. These modified operators yield better error estimates than the Jain operators.
引用
收藏
页码:2359 / 2366
页数:8
相关论文
共 50 条
  • [1] APPROXIMATION PROPERTIES OF JAIN-APPELL OPERATORS
    Ozarslan, Mehmet Ali
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020, 14 (03) : 654 - 669
  • [2] ON MODIFICATION OF JAIN OPERATORS AND ITS APPROXIMATION PROPERTIES
    Patel, Prashantkumar
    Mishra, Vishnu Narayan
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025, 8 (02): : 194 - 208
  • [3] Approximation Properties of Jain-Stancu Operators
    Ozarslan, Mehmet Ali
    FILOMAT, 2016, 30 (04) : 1081 - 1088
  • [4] ON MODIFICATION OF JAIN OPERATORS AND ITS APPROXIMATION PROPERTIES
    Patel, Prashantkumar
    Mishra, Vishnu Narayan
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025, 8 (02): : 194 - 208
  • [5] Approximation properties of modified Jain-Gamma operators
    Erdogan, S.
    Olgun, A.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (03) : 651 - 665
  • [6] The Integral Type Modification of Jain Operators and its Approximation Properties
    Mishra, Vishnu Narayan
    Patel, Prashantkumar
    Mishra, Lakshmi Narayan
    Numerical Functional Analysis and Optimization, 2018, 39 (12): : 1265 - 1277
  • [7] The Integral Type Modification of Jain Operators and its Approximation Properties
    Mishra, Vishnu Narayan
    Patel, Prashantkumar
    Mishra, Lakshmi Narayan
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (12) : 1265 - 1277
  • [8] Approximation of Jain Operators by Statistical Convergence
    Ispir, Nurhayat
    Deo, Naokant
    Bhardwaj, Neha
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1187 - 1197
  • [9] APPROXIMATION BY JAIN-SCHURER OPERATORS
    Cetin, Nursel
    Bascanbaz-Tunca, Gulen
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (05): : 1343 - 1356
  • [10] On Approximation Properties of Modified Sázas-Mirakyan Operators via Jain Operators
    Prashantkumar Patel
    Vishnu Narayan Mishra
    AnalysisinTheoryandApplications, 2016, 32 (03) : 232 - 241