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On Local Properties of Factored Fourier Series
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In the present paper, a theorem dealing with local property of | N , pn, θn |k summability of factored Fourier series which generalizes a result of Mazhar [8], has been proved. Some new results have also been obtained.
Abstract
In the present paper, a theorem dealing with local property of | N , pn, θn |k summability of factored Fourier series which generalizes a result of Mazhar [8], has been proved. Some new results have also been obtained.
참고문헌 (13)
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- H. Bor, "Local property of | ¯N, pn |k summability of factored Fourier series", Bull. Inst. Math. Acad. Sinica, 17, pp.165~170 (1989)
- H. Bor, "On the relative strength of two absolute summability methods", Proc. Amer. Math. Soc, 113, pp.1009~1012 (1991)
- H. Bor, "On the local property of | ¯N , pn |k summability of factored Fourier series", J. Math. Anal. Appl, 163, pp.220~226 (1992)
- T. M. Flett, "On an extension of absolute summability and some theorems of Littlewood and Paley", Proc. London Math. Soc, 7, pp.113~141 (1957)
- G. H. Hardy, "Divergent series" (1949), Oxford Univ. Press
- S.M. Mazhar, "A note on the localization of | ¯N , pn |k summability of Fourier series", Kumamoto J. Math, 12, pp.1~8 (1999)
- K. Matsumoto, "Local property of the summability | R, n, 1 |", Tohoku Math. J, 8(2), pp.114~124 (1956)
- K. N. Mishra, "Multipliers for | ¯N , pn | summability of Fourier series", Bull. Inst. Math. Acad. Sinica, 14, pp.431~438 (1986)
- R. Mohanty, "On the summability | R, log w, 1 | of Fourier series", J. London Math. Soc, 25, pp.67~72 (1950)
- W. T. Sulaiman, "On some summability factors of infinite series", Proc. Amer. Math. Soc, 115, pp.313~317 (1992)
- E.C. Titchmarsh, "The Theory of Functions" (1961), Oxford Univ. Press
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