Some inequalities for the sine integral.
Some inequalities in functional analysis, combinatorics, and probability theory.
Some inequalities obtained by elementary methods
Some inequalities of Ostrowski type and applications.
Some inequalities of perturbed trapezoid type.
Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces.
Some inequalities of the incomplete gamma and related functions.
Some inequalities regarding a generalization of Euler's constant.
Some Inequalities Related to an Inequality of Mathieu.
Some inequalities with integral means.
Some integral inequalities.
Some integral inequalities for functions of two variables.
Some integral inequalities involving Taylor's remainder. I.
Some integral inequalities of Hardy type
Some integral inequalities of Hölder and Minkowski type
A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form is established. Some well known inequalities and their generalizations are derived as consequences of our results.
Some integral inequalities of Sturm-Liouville type
Some integral inequalities related to Hilbert's.
Some Landau's type inequalities for infinitesimal generators.
Some matrix inequalities of London type
Some Mean-Value Theorems of the Cauchy Type
2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05Some mean-value theorems of the Cauchy type, which are connected with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral form. Several further generalizations and applications of these results are presented here.