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 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.
Some multiplicative inequalities for inner products and of the Carlson type.
Some new bounds for Mathieu's series.
Some new discrete inequalities and their applications.
Some new discrete nonlinear delay inequalities and application to discrete delay equations.
Some new generalizations of Hardy's integral inequality.
Some new Hardy type inequalities and their limiting inequalities.
Some new Hilbert-Pachpatte's inequalities.
Some new Hilbert's type inequalities.
Some new inequalities for means of two arguments.
Some new inequalities similar to Hilbert-Pachpatte type inequalities.
Some new nonlinear weakly singular integral inequalities of Wendroff type with applications.
Some new Opial-type inequalities involving higher order derivatives
We establish several new Opial-type inequalities involving different types of boundary conditions.