Generalizations of Hölder's inequalities on time scales

Abstract

Abstract. Hölder's inequalities and their extensions have received considerable attention in the theory of differential and difference equations. In this paper, we establish some new generalizations and refinements of Hölder's inequality and some related inequalities on time scales. We also show that many existing inequalities related to the Hölder's inequality are special cases of the inequalities presented on time scales.Mathematics subject classification (2010): 26B25, 26D15, 26E70.

Extensions of Hölder’s Inequality via Pseudo-Integral

“…Wu [14,15] presented some new sharpened and generalized versions of Hölder's inequalities in classical real analysis. For more detail expositions, the interested reader may consult [16][17][18][19][20][21][22] and the references therein.…”