Properties of generalized sharp Hölder's inequalities

Abstract

Abstract. Hölder's inequality and its various refinements are playing very important in mathematical analysis. In this paper, we give some new properties of generalized sharp Hölder's inequalities.Mathematics subject classification (2010): 26D15, 26D10.

Generalizations of Hu-type inequalities and their applications

“…Hölder's inequality plays a very important role in both theory and applications. This classical inequality has been widely studied by many authors, and it has motivated a large number of research papers involving different proofs, various generalizations, variations and applications (see e.g., [1,[6][7][8][9][10][11][12][13][14][16][17][18] and the references therein).…”

Extensions of Holder-type inequalities on time scales and their applications

“…For example, Wu [24,25] presented some new sharpened and generalized versions of Hölder's inequality in classical real analysis. Tian and Ha [20,21] gave two new properties of generalized Hölder's inequalities. Liu [12] established an important Hölder-type inequality for fuzzy variables.…”

Extensions of Hölder’s Inequality via Pseudo-Integral

“…Steele et al [5] employed the Hölder inequality to place lower bounds on the sum of and 1.0 running masses. Tian et al [6][7][8][9][10][11][12][13] gave some new properties, generalizations, refinements, and applications of Hölder's inequalities. Wu [14,15] presented some new sharpened and generalized versions of Hölder's inequalities in classical real analysis.…”