Results 51 to 60 of about 1,813 (135)

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S, Leping, He, Qiaoshun, Yang   +2 more
core  

On improvements of the Rozanova's inequality

Journal of Inequalities and Applications, 2011
In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

Multivariate Caputo left fractional Landau inequalities

Moroccan Journal of Pure and Applied Analysis, 2020
Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
doaj   +1 more source

Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation

Advances in Difference Equations, 2011
In this paper, we present some new discrete Volterra-Fredholm type inequalities, based on which we study the qualitative and quantitative properties of solutions of a class of Volterra-Fredholm type difference equation.
Zheng Bin
doaj  

On a discrete version of Fejér inequality for α-convex sequences without symmetry condition

Demonstratio Mathematica
In this study, we introduce the notion of α\alpha -convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof,
Jleli Mohamed, Samet Bessem
doaj   +1 more source

On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications [PDF]

, 2000
In this paper, we shall give a generalization of the Grüss type inequality and obtain some applications of the Grüss type inequality in terms of 2-inner product ...
Cho, Yeol Je, Dragomir, Sever S, Kim, Seong Sik, White, A   +3 more
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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
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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

On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]

, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
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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