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In the present paper, by introducing some parameters, new forms of Hardy-Hilbert’s inequalities are given.
A general inequality is proved using the definition of convex functions. Many major inequalities are deduced as applications.
W. T. Sulaiman Department of Mathematic, College of Computer Science and Mathematics, Mosul University, Mosul, Iraq Correspondence should be addressed to W. T. Sulaiman, firstname.lastname@example.org… (More)
New inequalities concerning functions of the form f (xy) similar to Hardy-Hilbert’s integral inequality are presented. A new class of functions denoted by (p, q)−-Hö(I) is defined. Many other new… (More)
In this paper new results concerning the q-polygamma and q-zeta functions are presented. Other generealizations of some known results are also obtained.
A general theorem concerning many absolute summability methods is proved. 2000 Mathematics Subject Classification. 40F05, 40G05, 40D15, 40D25.