Results 1 to 10 of about 188 (39)

Some new Fejér type inequalities for (h, g; α - m)-convex functions

open access: yesOpen Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam   +3 more
doaj   +1 more source

Another Converse of Jensen's Inequality [PDF]

open access: yes, 2009
We give the best possible global bounds for a form of discrete Jensen’s inequality.
Simic, Slavko
core  

A double inequality for bounding Toader mean by the centroidal mean

open access: yes, 2014
In the paper, the authors find the best numbers $\alpha$ and $\beta$ such that $$ \overline{C}\bigl(\alpha a+(1-\alpha)b,\alpha b+(1-\alpha)a\bigr)
Hua, Yun, Qi, Feng
core   +1 more source

On Trapezoid Inequality Via a Grüss Type Result and Applications [PDF]

open access: yes, 1999
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc...
Dragomir, Sever S, McAndrew, Alasdair
core  

New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]

open access: yes, 2007
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core  

Generalizations of Steffensen's inequality via Fink's identity and related results II [PDF]

open access: yes, 2015
We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given.
Pecaric, Josip   +2 more
core   +2 more sources

New extensions related to Fejér-type inequalities for GA-convex functions

open access: yesDemonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

On the decomposition of $n!$ into primes [PDF]

open access: yes, 2006
In this note, we approximate the average of prime powers in the decomposition of $n!$ into prime numbers.Comment: 9 ...
Hassani, Mehdi
core   +6 more sources

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

open access: yes, 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   +2 more
core  

Decompositions of Nakano norms by ODE techniques

open access: yes, 2018
We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
core   +1 more source

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