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Lupaş type Bernstein operators on triangle with one curve side

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Abstract

The purpose of the paper is to introduce new analogues of Lupaş type Bernstein operators on a triangle with one curve side, their products and Boolean sums. We study these univariate operators and their interpolation properties. Based on Peano’s theorem and using modulus of continuity, the remainders of the approximation formula of corresponding operators are evaluated. It has been shown that parameter q provides more flexibility for approximation.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mohd Shanawaz Mansoori, Asif Khan & M. Mursaleen

  2. Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri, 185234, Jammu and Kashmir, India

    Mohd Qasim & Zaheer Abbas

  3. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

    M. Mursaleen

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  1. Mohd Shanawaz Mansoori
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  2. Mohd Qasim
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  4. M. Mursaleen
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Correspondence to M. Mursaleen.

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Mansoori, M.S., Qasim, M., Khan, A. et al. Lupaş type Bernstein operators on triangle with one curve side. J Anal 31, 2225–2245 (2023). https://doi.org/10.1007/s41478-023-00561-y

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