TY - JOUR T1 - A study on absolute summability factors AU - Hazar Güleç, G. Canan PY - 2020 DA - February Y2 - 2019 DO - 10.16984/saufenbilder.642406 JF - Sakarya University Journal of Science JO - SAUJS PB - Sakarya University WT - DergiPark SN - 2147-835X SP - 220 EP - 223 VL - 24 IS - 1 LA - en AB - In this study we proved theorems dealing withsummability factors giving relations between absolute Cesàro and absolute weightedsummability methods. So we deduced some results in the special cases. KW - Summability factors KW - Absolute Cesàro summability KW - Absolute weighted summability CR - [1] H. Bor, “Some equivalence theorems on absolute summability methods,” Acta Math. Hung., vol. 149, pp.208-214, 2016.[2] H. Bor, “On two summability methods,” Math. Proc. Cambridge Philos Soc., vol. 98, 147-149, 1985. [3] T.M. Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proc. London Math. Soc., vol. 7, pp. 113-141, 1957.[4] Hazar Güleç, G.C. (in press).Summability factor relations between absolute weighted and Cesàro means, Mathematical Methods in the Applied Sciences. (DOI: 10.1002/mma.5399).[5] G.C. Hazar and M.A. Sarıgöl, “Compact and Matrix Operators on the Space |C,-1|_k,” J. Comput. Anal. Appl., vol.25, no.6, pp. 1014-1024, 2018.[6] G.C. Hazar, and M.A. Sarıgöl, “On factor relations between weighted and Nörlund means,” Tamkang J. Math. (in press).[7] I.J. Maddox, “Elements of functinal analysis, Cambridge University Press,” London, New York, 1970.[8] S.M. Mazhar, “On the absolute summability factors of infinite series,” Tohoku Math. J., vol.23, pp.433-451, 1971.[9] M.R. Mehdi, “Summability factors for generalized absolute summability I,” Proc. London Math. Soc., vol.3., no.10, pp.180-199, 1960.[10] R.N. Mohapatra, “On absolute Riesz summability factors,” J. Indian Math. Soc., vol.32, pp.113-129, 1968.[11] M. A. Sarıgöl, “Spaces of series Summable by absolute Cesàro and Matrix Operators ,” Comm. Math. Appl. , vol.7, no.1, pp.11-22, 2016.[12] M.A. Sarıgöl, “Extension of Mazhar's theorem on summability factors,” Kuwait J. Sci., vol.42, no.3, pp.28-35, 2015.[13] M.A. Sarıgöl, “On the local properties of factored Fourier series,” Appl. Math. Comp., vol.216, pp.3386-3390, 2010. [14] W.T. Sulaiman, “On summability factors of infinite series,” Proc. Amer. Math. Soc., vol.115, pp.313-317, 1992.[15] W.T. Sulaiman, “On some absolute summability factors of Infinite Series,” Gen. Math. Notes, vol.2, no.2, pp.7-13, 2011.[16] B. Thorpe, “Matrix transformations of Cesàro summable Series,” Acta Math. Hung., vol. 48(3-4), pp.255-265, 1986. UR - https://doi.org/10.16984/saufenbilder.642406 L1 - https://dergipark.org.tr/en/download/article-file/967517 ER -