On Several Inequalities Obtained from Generalizations of Young’s Inequality by a Power Series Approach
نویسنده
چکیده
The aim of this paper is to give different inequalities which result from various generalizations of Young inequalities in some specific cases for a and b using the power series method used by C. Mortici in his paper, [10]. Also several integral forms for some inequalities deduced by power series method starting from certain inequalities which generalize Radon’s inequality will be presented. Mathematics Subject Classification: 26D15
منابع مشابه
General Hardy-Type Inequalities with Non-conjugate Exponents
We derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. First, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. ...
متن کامل(m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities
In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...
متن کاملOn Generalizations of Hadamard Inequalities for Fractional Integrals
Fej'{e}r Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r Hadamard inequalities for $k$-fractional integrals. We deduce Fej'{e}r Hadamard-type inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.
متن کاملRefinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
This is a survey and expository article. Some new developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some results about Wilker-Anglesio’s inequality, some estimates for three kinds of complete elliptic integrals and several inequalities for the remainder of power series expansion of ex, are summarized.
متن کاملSome inequalities on generalized entropies
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young’s inequality. We also give a generalized Han’s inequality.
متن کامل