Results 61 to 70 of about 1,205 (159)

Some new finite difference inequalities arising in the theory of difference equations

Advances in Difference Equations, 2011
In this work, some new finite difference inequalities in two independent variables are established, which can be used in the study of qualitative as well as quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
doaj  

Levinson-type inequalities via new Green functions and Montgomery identity

Open Mathematics, 2020
In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad, Khan Khuram Ali, Pečarić Ðilda, Pečarić Josip   +3 more
doaj   +1 more source

Simpson type quantum integral inequalities for convex functions

, 2018
In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
semanticscholar   +1 more source

Some new nonlinear retarded sum-difference inequalities with applications

Advances in Difference Equations, 2011
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
doaj  

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

Hermite-Hadamard type integral inequalities for products of two generalized (s; m; ξ)-preinvex functions

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, the notion of generalized (s; m; ξ)-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized (s; m; ξ)-preinvex functions along with beta ...
Kashuri Artion, Liko Rozana
doaj   +1 more source

Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces

, 2017
On the product of m weighted Morrey spaces, some m -linear operators are shown to be bounded. The operator norm is calculated explicitly. It may be interesting to compare the results for the Hardy operator and the ones for the Hardy-Littlewood maximal ...
Tserendorj Batbold, Y. Sawano
semanticscholar   +1 more source

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  

Weighted Hermite-Hadamard-type inequalities without any symmetry condition on the weight function

Open Mathematics
We establish weighted Hermite-Hadamard-type inequalities for some classes of differentiable functions without assuming any symmetry property on the weight function.
Jleli Mohamed, Samet Bessem
doaj   +1 more source

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Special Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +1 more source