Degree of Approximation of Function in the Holder Metric (C 1)(e, c) Means of its Fourier Series


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Authors

  • H. L. Rathore Department of Mathematics, Government College Pendra, Bilaspur, Chhattisgarh, India

Keywords:

Fourier series, Banach Spaces, Lebesgue integral, (C, 1) (e, c) mean, Holder metric

Abstract

We extended a theorem of Das, Ghosh and Ray [4] obtained a result on degree of approximation of function in the Holder metric by (e, c) mean. In 2022, Rathore, Shrivastava and Mishra [13] has been determined the result on degree of approximation of a function in the Holder metric by (C, 1) F(a, q) mean of its Fourier series. Further we extend the result on degree of approximation of function in the Holder metric by (C, 1) (e, c) means of its Fourier series, has been proved.

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Published

03-12-2023

How to Cite

H. L. Rathore. (2023). Degree of Approximation of Function in the Holder Metric (C 1)(e, c) Means of its Fourier Series. International Journal of Mathematics And Its Applications, 11(4), 99–109. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1443

Issue

Vol. 11 No. 4 (2023)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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