Results 51 to 60 of about 329 (93)

ON THE GENERALIZED CONVEXITY AND CONCAVITY

Проблемы анализа, 2015
A function ƒ : R+ → R+ is (m1, m2)-convex (concave) if ƒ(m1(x,y)) ≤ (≥) m2(ƒ(x), ƒ(y)) for all x,y Є R+ = (0,∞) and m1 and m2 are two mean functions. Anderson et al.
Bhayo B., Yin L.
doaj  

On the generalization some intgeral inequalities and their applications [PDF]

, 2010
In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex.
Mehmet Zeki, Nesip Aktan, Sarikaya
core  

Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

, 2012
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal, Irshad, Wajeeha, Muddassar, Muhammad   +2 more
core   +1 more source

On the Lupas-Beesack-Pecaric Inequality for Isotonic Linear Functionals [PDF]

, 2001
Some inequalities related to the Lupaʂ-Beesack-Pečarić result for m − ψ −convex and M − ψ −convex functions and applications are ...
Dragomir, Sever S
core  

An Optimal Two Parameter Bounds for the Identric Mean

, 2012
In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
openaire   +2 more sources

An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem

, 2003
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
core   +1 more source

Minimally disproportional representation: generalized entropy and Stolarsky Mean-Divisor Methods of Apportionment [PDF]

We study divisor methods, the primary class to solve apportionment problems, based upon Stolarsky means Saß. These encompass the five traditional methods.
Luc Lauwers, Tom Van Puyenbroeck
core  

Some Remarks on the Trapezoid Rule In Numerical Integration [PDF]

, 1999
In this paper, by the use of some classical results from the Theory of Inequalities, we point out quasi-trapezoid quadrature formulae for which the error of approximation is smaller than in the classical case.
Cerone, Pietro, Dragomir, Sever S, Sofo, Anthony   +2 more
core  

On the identric mean of two accretive matrices

Filomat
Intensive studies aiming to extend some matrix means from positive matrices to accretive matrices and to establish some of their properties have been carried out recently. The contribution of this work falls within this framework. We introduce the identric mean of two accretive matrices and we study its properties.
openaire   +1 more source

Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem

, 2003
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
core   +1 more source