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

Year 2013, Volume: 42 Issue: 6, - 2, 01.06.2013

Abstract

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

References

  • Bary, K. N. Trigonometric series, Moscow, (1961)(in Russian.)
  • Bosanquet, L. S. Note on convergence and summability factors III, Proc. London Math. Soc. 50, 482-496, 1949.
  • 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.
  • 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.
  • Moore, C. N. On the use of Cesaro means in determining criteria for Fourier constants, Bull. Amer. Math. Soc. 39, 907-913, 1933.
  • Zygmund, A. Trigonometric series, Vol. 1, Cambridge University Press, Cambridge, 1959.

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

Year 2013, Volume: 42 Issue: 6, - 2, 01.06.2013

Abstract

-

References

  • Bary, K. N. Trigonometric series, Moscow, (1961)(in Russian.)
  • Bosanquet, L. S. Note on convergence and summability factors III, Proc. London Math. Soc. 50, 482-496, 1949.
  • 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.
  • 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.
  • Moore, C. N. On the use of Cesaro means in determining criteria for Fourier constants, Bull. Amer. Math. Soc. 39, 907-913, 1933.
  • Zygmund, A. Trigonometric series, Vol. 1, Cambridge University Press, Cambridge, 1959.
There are 6 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

N. L. Braha This is me

Publication Date June 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 6

Cite

APA Braha, N. L. (2013). INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS. Hacettepe Journal of Mathematics and Statistics, 42(6), 2.
AMA Braha NL. INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS. Hacettepe Journal of Mathematics and Statistics. June 2013;42(6):2.
Chicago Braha, N. L. “INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS”. Hacettepe Journal of Mathematics and Statistics 42, no. 6 (June 2013): 2.
EndNote Braha NL (June 1, 2013) INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS. Hacettepe Journal of Mathematics and Statistics 42 6 2.
IEEE N. L. Braha, “INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, p. 2, 2013.
ISNAD Braha, N. L. “INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS”. Hacettepe Journal of Mathematics and Statistics 42/6 (June 2013), 2.
JAMA Braha NL. INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS. Hacettepe Journal of Mathematics and Statistics. 2013;42:2.
MLA Braha, N. L. “INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, 2013, p. 2.
Vancouver Braha NL. INTEGRABILITY AND L1-CONVERGENCEOF CERTAIN COSINE SUMS WITH THIRDQUASI HYPER CONVEX COEFFICIENTS. Hacettepe Journal of Mathematics and Statistics. 2013;42(6):2.