دراسة في جموعية مشتقة متسلسلة فورييه و مرافقتها بالطريقة المصفوفية

الملخص EN

Various types of criteria, under varying conditions, for the Matrix Summability of the derived fourier series, In this paper quite a different and general type of criterion for summability of the Derived Fourier Series has been obtained, in the theorem function f is integrable in the sense of Lebesgue to the interval [−π,π] and periode with period 2π, and the Matrix, T = (an,k) is regular, and the series ΣnBn(x)∞n=1 summable in the Matrix mean to the sum O(1), and the series −ΣnAn(x)∞n = 1 summable in the Matrix mean to the sum −14π∫h(t).cosec212tdtπ0 + O(1).