An inclusion theorem for double Cesaro matrices over the space of absolutely k-convergent double series

Savaş, EkremRhoades, B. E.2020-11-212020-11-2120090893-9659https://doi.org/10.1016/j.aml.2009.03.015https://hdl.handle.net/11467/3916In this work it is shown that if C(alpha, beta) and C(gamma, delta) are double Cesaro, matrices with alpha >= gamma > -1, beta >= delta > -1, then any double series that is vertical bar C(gamma, delta) vertical bar(k)-summable is also vertical bar C(alpha, beta) vertical bar(k)-summable, k >= 1. (c) 2009 Published by Elsevier Ltdeninfo:eu-repo/semantics/openAccessAbsolute summability factorsDouble triangular summabilityAn inclusion theorem for double Cesaro matrices over the space of absolutely k-convergent double seriesArticle22914621466Q2WOS:000267964200029Q12-s2.0-6734917328010.1016/j.aml.2009.03.015