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On the strong Nörlund summability of conjugate Fourier series by Madan Lal Mittal; Uaday Singh; Vishnu N. Mishra is a Mathematics article available to read on EtoBox.

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In continuation of a recent work by Mittal [M.L. Mittal, On strong No ̈rlund summability of Fourier series, J. Math. Anal. Appl. 314 (2006),75-84], the present authors obtain a sufficient condition for the summability 1⁄2N ; p ð1Þ n ; 2 of the conjugate Fourier series. In conjunction with the known Tauberian theorem on the strong No ̈rlund summability, which was also considered earlier by Mittal [M.L. Mittal, A Tauberian theorem on strong No ̈rlund summability, J. Indian Math. Soc. (N.S.) 44 (1980), 369-377], our result gives a sufficient condition for the summability [C, 1 , 2] of the conjugate Fourier series. Our main theorem generalizes the results given earlier by Prasad [G.

Who reads On the strong Nörlund summability of conjugate Fourier series?

Author

Madan Lal Mittal; Uaday Singh; Vishnu N. Mishra

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)