Generalization of an integral formula of Guessab and Schmeisser.
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
Generalization of Hilbert's integral inequality.
Generalization of integral inequalities for functions whose modulus of derivatives are convex.
Generalization of some inequalities for the gamma function.
Generalization of some known properties of Cantor set
Generalization of Stolarsky type means.
Generalization of the Grace–Heawood Theorem
Generalization of the notion of the Banach indicatrix
Generalizations of a class of inequalities for products.
Generalizations of a theorem of I. Schur.
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...
Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures.
Generalizations of Shafer-Fink-type inequalities for the arc sine function.
Generalizations of some new Čebyšev type inequalities.
Generalizations of some remarkable inequalities
Generalizations of the Jensen-Steffensen and related inequalities
We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
Generalizations of the Ky Fan inequality.