INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS

Abstract

In this paper criterion for L- convergence of a certain cosine sums withthird quasi hyper-convex coefficients is obtained.

Keywords

• cosine sums, L-convergence, third quasi hyper-convex null sequences.

INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS

Abstract

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Keywords

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References

1. Bary, K. N. Trigonometric series, Moscow, (1961)(in Russian.)
2. Bosanquet, L. S. Note on convergence and summability factors III, Proc. London Math. Soc. 50, 482-496, 1949.
3. Braha, N. L. On L 1 -convergence of certain cosine sums with third semi-convex coefficients, Int. J. Open Probl. Comput. Sci. Math. 2 (4), 562-571, 2009.
4. Kaur, Kulwinder and Bahtia, S. S. Integrability and L 1 - convergence of Rees-Stanojevic sums with generalized semiconvex coefficient, IJMMS 30 (11), 645-650, 2002.
5. Moore, C. N. On the use of Cesaro means in determining criteria for Fourier constants, Bull. Amer. Math. Soc. 39, 907-913, 1933.
6. Zygmund, A. Trigonometric series, Vol. 1, Cambridge University Press, Cambridge, 1959.