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Approximation by Sequence of Operators Involving Analytic Functions

Author

Listed:
  • Sezgin Sucu

    (Department of Mathematics, Faculty of Science, Ankara University, TR-06100 Ankara, Turkey
    These authors contributed equally to this work.)

  • Serhan Varma

    (Department of Mathematics, Faculty of Science, Ankara University, TR-06100 Ankara, Turkey
    These authors contributed equally to this work.)

Abstract

In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived. Moreover, a generalization of this operator sequence called Kantorovich type generalization is introduced.

Suggested Citation

  • Sezgin Sucu & Serhan Varma, 2019. "Approximation by Sequence of Operators Involving Analytic Functions," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:188-:d:206596
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    References listed on IDEAS

    as
    1. Sezgin Sucu & Gürhan İçöz & Serhan Varma, 2012. "On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, August.
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    Cited by:

    1. Qing-Bo Cai & Bayram Çekim & Gürhan İçöz, 2021. "Gamma Generalization Operators Involving Analytic Functions," Mathematics, MDPI, vol. 9(13), pages 1-8, July.
    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.
    4. 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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