Results 81 to 90 of about 2,843 (179)

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.
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Some new generalized forms of Hardy's type inequality on time scales

, 2017
In this paper, we prove some new dynamic inequalities from which some known dynamic inequalities on time scales, some integral and discrete inequalities due to Hardy, Copson, Chow, Levinson, Pachpatte Yang and Hwang will be deduced as special cases. Also,
S. Saker, R. R. Mahmoud, M. M. Osman, R. Agarwal   +3 more
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  

On η-convexity

, 2017
Some basic inequalities related to η -convex functions are proved. Also we investigate the famous Hermite-Hadamard, Fejer, Jensen and Slater type inequalities for this class of functions.
M. R. Delavar, S. Dragomir
semanticscholar   +1 more source

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
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New generalized Hermite-Hadamard type inequalities and applications to special means

, 2013
In this paper, Hermite-Hadamard type inequalities involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are studied. Three classes of left-type Hadamard fractional integral identities including the
Jinrong Wang, Chun Zhu, Yong Zhou
semanticscholar   +1 more source

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
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Properties of generalized sharp Hölder's inequalities

, 2017
Hölder’s inequality and its various refinements are playing very important in mathematical analysis. In this paper, we give some new properties of generalized sharp Hölder’s inequalities. Mathematics subject classification (2010): 26D15, 26D10.
Jing-feng Tian, M. Ha
semanticscholar   +1 more source

On strongly generalized convex functions of higher order

Mathematical Inequalities & Applications, 2019
In this paper, we have introduced the notion of strongly generalized convex functions of higher order. We derived new integral inequalities of Hermite-Hadamard and HermiteHadamard-Féjer type for the class of strongly generalized convex functions of ...
S. K. Mishra, N. Sharma
semanticscholar   +1 more source

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

Open Mathematics
We establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
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