Kara, Merve IlkhanRoopaei, Hadi2021-12-012021-12-0120212662-20092538-225Xhttps://doi.org/10.1007/s43036-021-00141-6https://hdl.handle.net/20.500.12684/10373In this paper, we introduce Cesaro-Gamma matrix that exhibits the structure of both the Cesaro and Gamma matrices. We study the domain of this new matrix in the space l(p) (1 <= p <= infinity). By this new matrix, we obtain a factorization for the infinite Hilbert matrix, based on the Cesaro matrix of order lambda, of the form H = (BC lambda)-C-lambda. As a second application of this operator, we obtain a factorization for the Cesaro matrix of order lambda of the form C lambda+(lambda) over tilde = (R lambda,(lambda) over tilde +1C(lambda) over tilde), which results in a factorization for the Cesaro matrices of the form C-lambda = (SC(lambda) over tilde)-C-lambda,(lambda) over tilde.en10.1007/s43036-021-00141-6info:eu-repo/semantics/closedAccessMatrix operatorCesaro matrixGamma matrixHilbert matrixInequalityMatrixL(P)IncludeDomainArticle63WOS:000644872300001N/A