Results 21 to 30 of about 207 (55)

Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R., Pečarić Josip, Praljak Marjan   +2 more
doaj   +1 more source

A double inequality for bounding Toader mean by the centroidal mean

, 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

An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem

, 2009
In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Inequality for power series with nonnegative coefficients and applications [PDF]

, 2015
We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients.
Dragomir, Sever S
core   +2 more sources

Another Converse of Jensen's Inequality [PDF]

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

Some inequalities of the Turán type for confluent hypergeometric functions of the second kind [PDF]

, 2019
In the paper, by virtue of the H¨older integral inequality, the authors derive some inequalities of the Turán type for confluent hypergeometric functions of the second kind, for the Mellin transforms, and for the Laplace transforms, and improve some ...
QI, Feng
core   +2 more sources

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

, 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

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

, 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]

, 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  

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

Demonstratio 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