Some new inequalities for the gamma, beta and zeta functions.
Some new inequalities for trigonometric polynomials with special coefficients.
Some new inequalities similar to Hilbert-Pachpatte type inequalities.
Some New Multidimensional Hardy-type Inequalities With Kernels Via Convexity
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.
Some new results related to Favard's inequality.
Some new Wilker-type inequalities for circular and hyperbolic functions.
Some noiseless coding theorem connected with Havrda and Charvat and Tsallis's entropy
Some nonlinear delay integral inequalities and their discrete analogues.
Some nonlinear integral inequalities arising in differential equations.
Some nonlinear integral inequalities in two independent variables.
Some nonlinear integral inequalities on time scales.
Some nonlinear weakly singular integral inequalities with two variables and applications.
Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions.
Some p.d.f.-free upper bounds for the dispersion and the quantity .
Some problems and solutions involving Mathieu's series and its generalizations.
Some properties of arithmetic means of real sequences
Some quadratic integral inequalities of first order
Some quadratic integral inequalities of Opial type
We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation. In this paper...