کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634214 1340688 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
T · C1 summability of a sequence of Fourier coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
T · C1 summability of a sequence of Fourier coefficients
چکیده انگلیسی
Let Bn(x) denote the nth term of the conjugate series of a Fourier series of function f. Mohanty and Nanda [R. Mohanty, M. Nanda, On the behavior of Fourier coefficients, Proc. Am. Math. Soc. 5 (1954) 79-84] were the first to establish a result for C1-summability of the sequence {nBn(x)}. Varshney [O.P. Varshney, On a sequence of Fourier coefficients, Proc. Am. Math. Soc. 10 (1959) 790-795] improved it for the product summability H1 · C1, which was generalized by various investigators using different summability methods with different set of conditions. In this note, we extend the result of Mittal [M.L. Mittal, On the ‖T‖·C1 summability of a sequence of Fourier coefficients, Bull. Cal. Math. Soc. 81 (1989) 25-31], which in turn generalizes the results of Prasad [K. Prasad, On the (N, pn) · C1 summability of a sequence of Fourier coefficients, Indian J. Pure Appl. Math. 12 (7) (1981) 874-881] and Varshney [O.P. Varshney, On a sequence of Fourier coefficients, Proc. Am. Math. Soc. 10 (1959) 790-795].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 702-706
نویسندگان
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