Summability of Fourier Series and its Derived Series by Matrix Means

Autor: KARAZON, Abdelhadi Mohammad, AMER, Mohammad Mahmoud
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Issue: 26 54-63
Journal of New Theory
ISSN: 2149-1402
Popis: ThisPaper introduces the concept of matrix operators and establishes two newtheorems on matrix summability of Fourier series and its derived series. theresults obtained in the paper further extend several known results on linearoperators. Various types of criteria, under varying conditions, for the matrix summabilityof the Fourier series, In this paper quite a different and general type ofcriterion for summability of the Fourier Series has been obtained, in thetheorem function is integrable in the sense ofLebesgue to the interval[-\pi,\pi]and period with period 2\pi.
Databáze: OpenAIRE