We will generalize and improve the results of T. Singh [Publ. Math. Debrecen 40 (1992), 261-271] obtaining the L. Leindler type estimates from [Acta Math. Hungar. 104 (2004), 105-113].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-22, author = {Bogdan Szal}, title = {On the rate of summability by matrix means in the generalized H\"older metric}, journal = {Banach Center Publications}, volume = {95}, year = {2011}, pages = {359-368}, zbl = {1239.42005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-22} }
Bogdan Szal. On the rate of summability by matrix means in the generalized Hölder metric. Banach Center Publications, Tome 95 (2011) pp. 359-368. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-22/