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Direct and Inverse Theorems for Beta-Durrmeyer Operators

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Modern Mathematical Methods and High Performance Computing in Science and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 171))

Abstract

In this paper, we consider linear combinations of Beta-Durrmeyer operators \(L_{n}(f,x)\) and study the direct theorem in terms of higher order modulus of continuity in simultaneous approximation and inverse theorem for these operators in ordinary approximation.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University (Formerly Delhi College of Engineering), Bawana Road, Delhi, 110042, India

    Naokant Deo

  2. Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, 201301, India

    Neha Bhardwaj

Authors
  1. Naokant Deo
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  2. Neha Bhardwaj
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Corresponding author

Correspondence to Neha Bhardwaj .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H.M. Srivastava

  3. Dipartimento di Matematica, University of Turin, Torino, Italy

    Ezio Venturino

  4. High Performance Computing Center (HLRS), University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Michael Resch

  5. Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India

    Vijay Gupta

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Deo, N., Bhardwaj, N. (2016). Direct and Inverse Theorems for Beta-Durrmeyer Operators. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_15

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