TY - JOUR T1 - Summability of Fourier Series and its Derived Series by Matrix Means AU - Karazon, Abdelhadi Mohammad AU - Amer, Mohammad Mahmoud PY - 2019 DA - January JF - Journal of New Theory JO - JNT PB - Naim ÇAĞMAN WT - DergiPark SN - 2149-1402 SP - 54 EP - 63 IS - 26 LA - en AB - 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. KW - Summability KW - matrix summability KW - Fourier series KW - derived Fourier series CR - [1] B. P. Padhy, B. Mallik, U. K. Misra and M. Misrapaikray and U. Misra, On product summability of Fourier series using 3, (2016), 191-195. CR - [2] A. Alotibi, M. Mursaleen, Applications of Hankel and regular metrices in Fourier series, (2013), 1-3. CR - [3] H. K. Nigam, K. Sharma, On double dummability of double conjugate Fourier series 2012, (2012), 1-15. CR - [4] S. Lal, P. Yadav, Matrix summability of the conjugate series of derived Fourier series 33, (2002), 35-43. CR - [5] S. Lal, on the degree of approximation of conjugate of a function belonging to weighted class by matrix summability means of conjugate series of a fourier series 31, (2000), 279-288. CR - [6] A. Zygmund Trigonometric Series, vol I, Cambridge University Press, Cambridge 1, 2, (1959), 74-124. CR - [7] G. H. Hardi, Divergent Series, Oxford at the Clarendon Press, (1949), 65-66. UR - https://dergipark.org.tr/en/pub/jnt/issue//506424 L1 - https://dergipark.org.tr/en/download/article-file/616008 ER -