Two Inequalities and Two Means

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1

Abstract

The paper presents geometric derivations of Jensen's and Hermite-Hadamard's inequality.Jensen's inequality is further involved to a concept of quasi-arithmetic means. Hermite-Hadamard's inequality is applied to compare the basic quasi-arithmetic means,

Authors and Affiliations

Zlatko Pavic

Keywords

Related Articles

COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN HILBERT SPACE

 In this paper we prove a common fixed point theorem for weakly compatible mappings satisfies certain  contractive condition in non- empty closed subset of a separable Hilbert Space. Our results generalize and...

Totally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric

In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-...

Stability of the vibrations of a damped general inhomogeneous wave equation

In this paper, we consider the vibrations of an inhomogeneous damped wave under distributed disturbing force. The well-possedness of the system is studied. We prove that the amplitude of such vibrations is bounded u...

The solution of mixed integral equation of the first kind using toeplitz matrix method

In this work, the existence and uniqueness of the solution of mixed integral equation (MIE) of the first kind is considered in the  L2  *C[0,T], T<1 ,  is the domain of integration with respect to...

Edge Monophonic Domination Number of Graphs

In this paper the concept of edge monophonic domination num-ber of a graph is introduced.A set of vertices D of a graph G is edge mono-phonic domination set (EMD set) if it is both edge monophonic set and adomination set...

Download PDF file
  • EP ID EP651266
  • DOI 10.24297/jam.v9i1.2498
  • Views 186
  • Downloads 0

How To Cite

Zlatko Pavic (2014). Two Inequalities and Two Means. JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1714-1723. https://www.europub.co.uk/articles/-A-651266