Results 51 to 60 of about 1,680 (149)

A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]

open access: yes, 2002
A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core  

Properties of generalized sharp Hölder's inequalities

open access: yes, 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

Improved Hardy inequalities with exact remainder terms

open access: yes, 2020
We set up several identities that imply some versions of the Hardy type inequalities. These equalities give a straightforward understanding of several Hardy type inequalities as well as the nonexistence of nontrivial optimizers.
Tuan Duy Nguyen   +3 more
semanticscholar   +1 more source

Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales

open access: yesNonautonomous Dynamical Systems, 2018
By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh   +2 more
doaj   +1 more source

Lyapunov inequality for fractional differential equations with Prabhakar derivative

open access: yes, 2016
In this paper, we consider a fractional boundary value problem including the Prabhakar fractional derivative. We obtain associated Green function for this fractional boundary value problem and get a Lyapunov-type inequality for it.
S. Eshaghi, A. Ansari
semanticscholar   +1 more source

Extension of Hu Ke's inequality and its applications

open access: yesJournal of Inequalities and Applications, 2011
In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj  

An equivalent form of Young's inequality with upper bound

open access: yes, 2008
Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
core   +2 more sources

SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS

open access: yes, 2015
Some new results related of the left-hand side of the Hermite-Hadamard type inequal- ities for the class of mappings whose second derivatives at certain powers are s convex in the second sense are established.
M. Sarıkaya, Mehmet Ey, Up Kiris
semanticscholar   +1 more source

An improved Hardy type inequality on Heisenberg group

open access: yesJournal of Inequalities and Applications, 2011
Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj  

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

open access: yesAdvanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

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