Results 71 to 80 of about 1,946 (136)

Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates

Journal of King Saud University: Science, 2018
In this paper, we introduce the notion of MT-convex functions on co-ordinates and establish some new integral inequalities of Hermite-Hadamard type for MT-convex functions on co-ordinates on a rectangle Δ in the plane R2.
P.O. Mohammed
doaj  

Schur-power convexity of integral mean for convex functions on the coordinates

Open Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj   +1 more source

Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem [PDF]

arXiv, 2003
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.
arxiv  

Improved Jensen's inequality

, 2017
In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar   +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  

New fractional integral inequalities via Euler's beta function

Open Mathematics, 2023
In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj   +1 more source

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  

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

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