Refinements on the discrete Hermite–Hadamard inequality

Refinements of Pinsker's inequality

Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e. largest) lower bound determines a function L = L(V ), Vajda’s tight lower bound, cf. Vajda, [?]. The main result is an exact parametrization of L. This leads to Taylor polynomials which are lower bounds for L, and thereby extensions of the classical Pinsker ine...

On the refinements of the Jensen-Steffensen inequality

* Correspondence: [email protected] Abdus Salam School of Mathematical Sciences, GC University, 68-b, New Muslim Town, Lahore 54600, Pakistan Full list of author information is available at the end of the article Abstract In this paper, we extend some old and give some new refinements of the JensenSteffensen inequality. Further, we investigate the log-convexity and the exponential conve...

Refinements of Generalized Hölder’s Inequality

In this paper, we present some refinements of a generalized Hölder’s inequality, which is due to Vasić and Pečarić. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.

Refinements of Kantorovich Inequality for Hermitian Matrices

Generalizations and Refinements for Nesbitt’s Inequality

In this paper we present a new generalizations and refinements for Nesbitt’s inequality (see [5]). In every section, we give example of inequalities by particularization.