The Journal of the Indian Mathematical Society

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On the Absolute Cesaro Summability Factors of a Fourier Series


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1 University of Allahabad, Allahabad, India
     

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Let Σan be a given infinite series. The series Σan is said to be absolutely summable (A), or summable | A |, if

F(x)=Σanxn

is convergent for 0 ≤ x ≤ 1 and F(x) is a function of bounded variation in the interval (0, 1) ; ([23]).


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  • On the Absolute Cesaro Summability Factors of a Fourier Series

Abstract Views: 216  |  PDF Views: 0

Authors

Z. U. Ahmad
University of Allahabad, Allahabad, India

Abstract


Let Σan be a given infinite series. The series Σan is said to be absolutely summable (A), or summable | A |, if

F(x)=Σanxn

is convergent for 0 ≤ x ≤ 1 and F(x) is a function of bounded variation in the interval (0, 1) ; ([23]).