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Gamma Generalization Operators Involving Analytic Functions

Author

Listed:
  • Qing-Bo Cai

    (Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China)

  • Bayram Çekim

    (Department of Mathematics, Faculty of Science, Gazi University, Ankara 06560, Turkey)

  • Gürhan İçöz

    (Department of Mathematics, Faculty of Science, Gazi University, Ankara 06560, Turkey)

Abstract

In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian–Totik first order modulus of smoothness and the K -functional. Furthermore, we obtain the point-wise estimations for this operator.

Suggested Citation

  • Qing-Bo Cai & Bayram Çekim & Gürhan İçöz, 2021. "Gamma Generalization Operators Involving Analytic Functions," Mathematics, MDPI, vol. 9(13), pages 1-8, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1547-:d:586879
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    References listed on IDEAS

    as
    1. Sezgin Sucu & Serhan Varma, 2019. "Approximation by Sequence of Operators Involving Analytic Functions," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
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    Cited by:

    1. Abdullah Alotaibi, 2022. "Approximation of GBS Type q -Jakimovski-Leviatan-Beta Integral Operators in Bögel Space," Mathematics, MDPI, vol. 10(5), pages 1-21, February.

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    2. Dhruv Bhatnagar, 2022. "Quantitative Theorems for a Rich Class of Novel Miheşan-type Approximation Operators Incorporating the Boas-Buck Polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 1017-1035, December.
    3. Serhan Varma & Sezgin Sucu, 2022. "Operators Obtained by Using Certain Generating Function for Approximation," Mathematics, MDPI, vol. 10(13), pages 1-9, June.

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