ABSOLUTE ALMOST CONVERGENCE OF FOURIER SERIES AND CONJUGATE SERIES

Umakanta Misra, G Das, Asima Manjari Dash, B.K Ray

Abstract


The main object of the present paper is to study the absolute almost convergence of Fourier Series and Conjugate Series using fractional means of generating function and extend a recent result of Das and Ray.


Keywords


Absolute Almost Convergence; Fourier Series; Conjugate Series.

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References


L. S. Bosonquet, The Absolute Cesaro Summability of Fourier Series, Proc. London Math. Soc. 41(1936), 517-528.

L. S. Bosonquet and J.M.Hyslop, On the Absolute Summability of the Allied Series of a Fourier Series, Math. Zeit. 42(1937), 489-512.

G. Das, British Mathematical Colloquimum (1968), Birmingham University.

G. Das, B. Kuttner and S. Nanda, Some Sequence Spaces and Absolute Almost Convergence, Tran. American Math. Soc. 283, Number 2, (1984), 729-739.

G. Das and B. Kuttner, Space of Absolute Almost Convergence, Indian Jour. Math. 28(3)(1986), 241-257.

G. Das, B. Kuttner and S. Nanda, On Absolute Almost Convergence, Journ. Mathematical Analysis and Applications, 161(1),(1991), 50-56.

G. Das and B. K. Ray, Lack of Tuberain Theorem for Absolute Almost Convergence, Analysis Mathematica, 35(2009), p.37-49.

G. G. Lorentz, A Contribution to the Theory of Divergent Sequences, Acta Math. 80(1948), 167-190.

A. Zygmund, Trigonometric Series, Vol.I, Cambridge Univ. Press, New York, 1959.


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