Results 1 to 10 of about 188 (39)
Some new Fejér type inequalities for (h, g; α - m)-convex functions
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]
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
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]
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]
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]
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
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]
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]
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
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

