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Approximation by Multivariate Max-Product Kantorovich Exponential Sampling Operators

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Abstract

The approximation behavior of multivariate max-product Kantorovich exponential sampling operators has been analyzed. The point-wise and uniform approximation theorem for these sampling series \(I^{\chi ,(M)}_{\textbf{w},j}\) is proved. The degree of approximation in-terms of logarithmic modulus of smoothness is studied. For the class of log-Hölderian functions, the order of uniform norm convergence is established. The norm-convergence theorems for the multivariate max-product Kantorovich exponential sampling operators in Mellin–Lebesgue spaces is studied.

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Acknowledgements

A. Sathish Kumar acknowledges DST-SERB, India Research Grant MTR/2021/000428 and NFIG Grant, IIT Madras, Grant No. RF/22-23/0984/MA/NFIG/009017 for the financial support.

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  1. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India

    Sathish Kumar Angamuthu

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Angamuthu, S.K. Approximation by Multivariate Max-Product Kantorovich Exponential Sampling Operators. Results Math 79, 66 (2024). https://doi.org/10.1007/s00025-023-02092-1

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