New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex

Mohammad W Alomari; Maslina Darus; Sever S. Dragomir

doi:10.5556/j.tkjm.41.2010.498

PDF cover letter

Published: Nov 23, 2010

DOI: https://doi.org/10.5556/j.tkjm.41.2010.498

Keywords:

Convex function Quasi-Convex function Hermite-Hadamard's inequality

Mohammad W Alomari

Dr.

Maslina Darus

Sever S. Dragomir

Abstract

In this note we obtain some inequalities of Hermite-Hadamard
type for functions whose second derivatives absolute values are quasi-convex.
Applications for special means are also provided.

How to Cite

Alomari, M. W., Darus, M., & Dragomir, S. S. (2010). New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex. Tamkang Journal of Mathematics, 41(4), 353–359. https://doi.org/10.5556/j.tkjm.41.2010.498

Issue

Vol. 41 No. 4 (2010)

Section

Papers

Most read articles by the same author(s)

Ajab Akbarally, Maslina Darus, Applications of fractional calculus to $ k $-uniformly starlike and $ k $-uniformly convex functions of order $ \alpha $ , Tamkang Journal of Mathematics: Vol. 38 No. 2 (2007)
Suzeini Abdul Halim, Aini Janteng, Maslina Darus, Classes with negative coefficients and starlike with respect to other points II , Tamkang Journal of Mathematics: Vol. 37 No. 4 (2006)
Moa'ath Nasser, Maslina Darus, Certain classes of meromorphic $ p $-valent functions with positive coefficients , Tamkang Journal of Mathematics: Vol. 37 No. 3 (2006)
Ma'moun Harayzeh Al-Abbadi, Maslina Darus, Hankel determinant for certain class of analytic function defined by generalized derivative operator , Tamkang Journal of Mathematics: Vol. 43 No. 3 (2012)
Aabed Mohammed, Maslina Darus, Second Hankel determinant for a class of analytic functions defined by a linear operator , Tamkang Journal of Mathematics: Vol. 43 No. 3 (2012)
Rabha W. Ibrahim, Maslina Darus, Partial sums for certain classes of meromorphic functions , Tamkang Journal of Mathematics: Vol. 41 No. 1 (2010)
Rabha Ibrahim, Maslina Darus, On operator defined by double Zeta functions , Tamkang Journal of Mathematics: Vol. 42 No. 2 (2011)
Maslina Darus, Imran Faisal, Some subclasses of analytic functions of complex order defined by new differential operator , Tamkang Journal of Mathematics: Vol. 43 No. 2 (2012)
Sivasubramanian Srikandan, N. Magesh, Maslina Darus, A new subclass of meromorphic function with positive and fixed second coefficients , Tamkang Journal of Mathematics: Vol. 44 No. 3 (2013)
Entisar El-yagubi, Maslina Darus, Some properties of differential operator associated with generalized hypergeometric functions , Tamkang Journal of Mathematics: Vol. 46 No. 1 (2015)

1 2 > >>

Article Sidebar

Main Article Content

Abstract

Article Details

Most read articles by the same author(s)