APPROXIMATION BY MODIFIED PALTANEA OPERATORS

被引：1
|
作者：
Gupta, Vijay [1 ]
Agrawal, P. N. [2 ]
机构：
[1] Netaji Subhas Univ Technol, Dept Math, New Delhi, India
[2] Indian Inst Technol, Dept Math, Roorkee, Uttar Pradesh, India
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2020年 / 107卷 / 121期
关键词：
Szasz-Mirakjan operators; Baskakov operators; Phillips operators; moment generating function; modulus of continuity; Ditzian-Totik modulus of smoothness; SZASZ-MIRAKJAN OPERATORS; GRUSS-TYPE; INEQUALITIES;
D O I：
10.2298/PIM2021157G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss some approximation properties of hybrid genuine operators. We find central moments using the concept of moment generating function. A quantitative Voronovskaya and Gruss-Voronovskaya type theorem are proven. Also, we obtain the degree of approximation of the considered operators by means of the second order Ditzian-Totik modulus of smoothness.
引用
收藏
页码：157 / 164
页数：8
相关论文
共 50 条
  • [1] Approximation by Jakimovski-Leviatan-Paltanea operators involving Sheffer polynomials
    Mursaleen, M.
    AL-Abeid, A. A. H.
    Ansari, Khursheed J.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 1251 - 1265
  • [2] APPROXIMATION OF GENERALIZED PALTANEA AND HEILMANN-TYPE OPERATORS
    Kumar, Sandeep
    Deo, Naokant
    MATEMATICKI VESNIK, 2022, 74 (02): : 100 - 109
  • [3] APPROXIMATION BY BEZIER VARIANT OF JAKIMOVSKI-LEVIATAN-PALTANEA OPERATORS INVOLVING SHEFFER POLYNOMIALS
    Agrawal, P. N.
    Kumar, Ajay
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (02): : 1522 - 1536
  • [4] Approximation with Certain Genuine Hybrid Operators
    Gupta, Vijay
    Rassias, Th. M.
    Agrawal, P. N.
    Goyal, Meenu
    FILOMAT, 2018, 32 (06) : 2335 - 2348
  • [5] GLOBAL APPROXIMATION PROPERTIES OF MODIFIED SMK OPERATORS
    Ozarslan, M. Ali
    Duman, Oktay
    FILOMAT, 2010, 24 (01) : 47 - 61
  • [6] APPROXIMATION BY MODIFIED POST-WIDDER OPERATORS
    Deshwal, Sheetal
    Srivastav, Rupesh K.
    Prasad, Gopi
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2023, 30 (01): : 67 - 81
  • [7] Approximation Properties of Some Modified Szasz-Mirakjan-Kantorovich Operators
    Yadav, R.
    Meher, R.
    Mishra, V. N.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2022, 15 (02) : 170 - 185
  • [8] Approximation on Durrmeyer modification of generalized Szász-Mirakjan operators
    Yadav, Rishikesh
    Mishra, Vishnu Narayan
    Meher, Ramakanta
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (10) : 8226 - 8248
  • [9] Local approximation results for Stancu variant of modified Szasz-Mirakjan operators
    Devdhara, Ankita R.
    Mishra, Vishnu Narayan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (02): : 400 - 409
  • [10] Approximation Properties of the Modified Stancu Operators
    Acu, Ana Maria
    Agrawal, P. N.
    Neer, Trapti
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (03) : 279 - 292
12345