Results 71 to 80 of about 2,031 (186)

On Pecaric's Inequality in Inner Product Spaces [PDF]

arXiv, 2003
Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.
arxiv  

Generalized Gronwall-Bellman-type discrete inequalities and their applications

Journal of Inequalities and Applications, 2011
In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
doaj  

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Topological Algebra and its Applications, 2016
In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
doaj   +1 more source

Extensions and improvements of Sherman’s and related inequalities for n-convex functions

Open Mathematics, 2017
This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić, Pečarić Josip   +1 more
doaj   +1 more source

Some Bombieri Type Inequalities in Inner Product [PDF]

arXiv, 2003
Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
arxiv  

The natural approach of Wilker-Cusa-Huygens inequalities

, 2011
The aim of this paper is to provide a natural approach of Wilker-Cusa-Huygens inequalities. This new approach permits us to give new proofs then to refine much these inequalities and we are convinced that it is suitable to establish many other similar ...
C. Mortici
semanticscholar   +1 more source

On discrete inequalities for some classes of sequences

Open Mathematics
For a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
doaj   +1 more source

On the Boas-Bellman Inequality in Inner Product Spaces [PDF]

arXiv, 2003
New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.
arxiv  

An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities

, 2020
In this paper, we aim at establishing an analog of the recently published results [1] with the help of new k− type fractional integral operator Rω [ f ](t) , which is introduced here by using the ω -weighted classes.
P. Agarwal, J. Restrepo
semanticscholar   +1 more source