Further development of Qi-type integral inequality.
Further extension of Stolarsky's inequality with general weights.
Further reverse results for Jensen's discrete inequality and applications in information theory.
Gehring theory for time-discrete hyperbolic differential equations
This paper is concerned with extending Gehring theory to be applicable to Rothe's approximate solutions to hyperbolic differential equations.
General Fritz Carlson's type inequality for Sugeno integrals.
General Hardy inequalities with optimal constants and remainder terms.
General Inequalities for Nonsymmetric Means
General inequalities for quasideviation means.
General uniform approximation theory by multivariate singular integral operators
We study the uniform approximation properties of general multivariate singular integral operators on , N ≥ 1. We establish their convergence to the unit operator with rates. The estimates are pointwise and uniform. The established inequalities involve the multivariate higher order modulus of smoothness. We list the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators to which this theory can be applied directly.
Generalization of a result for cosine series on the norm.
Generalization of an impulsive nonlinear singular Gronwall-Bihari inequality with delay.
Generalization of an inequality for integral transforms with kernel and related results.
Generalization of an integral formula of Guessab and Schmeisser.
Generalization of Hilbert's integral inequality.
Generalization of integral inequalities for functions whose modulus of derivatives are convex.
Generalization of Stolarsky type means.
Generalizations of a class of inequalities for products.
Generalizations of Hardy's integral inequalities.
Generalizations of Hölder's inequality.
Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions
We present integral versions of some recently proved results which improve the Jensen-Steffensen and related inequalities for superquadratic functions. For superquadratic functions which are not convex we get inequalities analogous to the integral Jensen-Steffensen inequality for convex functions. Therefore, we get refinements of all the results which use only the convexity of these functions. One of the inequalities that we obtain for a superquadratic function φ is , where and which under...