Results 11 to 20 of about 207 (55)

Some new nonlinear retarded sum-difference inequalities with applications [PDF]

open access: yesAdvances 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   +2 more sources

New version of generalized Ostrowski-Gruss type inequality [PDF]

open access: yes, 2021
Ostrowski inequality is one of the celebrated inequalities in Mathematics. The main purpose of our study is to generalize the result of Ostrowski-Gru¨ss type inequality for first differentiable mappings and apply it to probability density functions ...
BILAL, Muhammad   +2 more
core   +2 more sources

Generalized retarded integral inequalities [PDF]

open access: yes, 2008
We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no.
Agarwal   +13 more
core   +4 more sources

On some intermediate mean values [PDF]

open access: yes, 2012
We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class $\Lambda_{f,g}(a, b)$ of mean values where $f, g$ are continuously differentiable convex functions satisfying the relation $f"(t)=t g"(t),
Simic, Slavko
core   +3 more sources

On a Hierarchy of Means [PDF]

open access: yes, 2013
For a class of partially ordered means we introduce a notion of the (nontrivial) cancelling mean. A simple method is given which helps to determine cancelling means for well known classes of Holder and Stolarsky ...
Simic, Slavko
core   +2 more sources

Nabla Discrete fractional Calculus and Nabla Inequalities [PDF]

open access: yes, 2009
Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders.
Anastassiou, George A.
core   +1 more source

Generalizations of Steffensen’s inequality via some Euler-type identities

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip   +2 more
doaj   +1 more source

A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

open access: yesResults in Physics, 2021
This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan   +2 more
doaj  

Weighted isoperimetric inequalities in cones and applications [PDF]

open access: yes, 2012
This paper deals with weighted isoperimetric inequalities relative to cones of $\mathbb{R}^{N}$. We study the structure of measures that admit as isoperimetric sets the intersection of a cone with balls centered at the vertex of the cone.
Brock, Friedemann   +2 more
core   +1 more source

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