Results 121 to 130 of about 1,946 (136)

New extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
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Multidimensional Fractional Iyengar Type Inequalities for Radial Functions

Progress in Fractional Differentiation and Applications, 2022
Here we derive a variety of multivariate fractional Iyengar type inequalities for radial functions de…ned on the shell and ball. Our approach is based on the polar coordinates in R , N 2, and the related multivariate polar integration formula.
G. Anastassiou
semanticscholar   +1 more source

On the Norm of a Multidimensional Hilbert-Type Operator

Sarajevo Journal of Mathematics
In this paper we consider multidimensional Hilbert-type integral inequalities with non-conjugate exponents and homogeneous kernels of negative degree. As an application, we define related Hilbert-type integral operators and consider their norms.
Bicheng Yang, M. Krnić
semanticscholar   +1 more source

On a Refinement of Hardy’s Inequalities via Superquadratic And Subquadratic Functions

Sarajevo Journal of Mathematics
Let $A_k$ be an integral operator defined by$$A_kf(x):=\frac{1}{K(x)} \iom2 k(x,y)f(y)d\oy,$$where $k:\Omega_1\times \Omega_2 \to \R$ is a general nonnegative kernel,and$(\Omega_1,\Sigma_1,\mu_1)$, $(\Omega_2,\Sigma_2,\mu_2)$ are measure spaces with ...
G. Farid, Kristina Krulic, J. Pečarić
semanticscholar   +1 more source

On Some Ostrowski Type Integral Inequalities

Sarajevo Journal of Mathematics
In this paper we establish some new Ostrowski type integral inequalities, by using the Montgomery identity and Taylor's formula.
Andrea Agli´c Aljinovi´c, Razim Hoxha, Josip Peˇcari´c   +2 more
semanticscholar   +1 more source

On Jensen’s Inequality Involving Averages of Convex Functions

Sarajevo Journal of Mathematics
Using Wulbert result from Wulbert we deduce a method for constructing exponentially convex functions. To this date there is no known operative criteria for recognizing exponentially convex functions, so our method is of a special interest since there is ...
J. Jakšetić, J. Pečarić, G. Roqia
semanticscholar   +1 more source

Riemann-Liouville and Caputo Fractional Approximation of Csiszar’s $f$-Divergence

Sarajevo Journal of Mathematics
Here are established various tight probabilistic inequalities that give nearly best estimates for the Csiszar's $f$-divergence. These involve Riemann-Liouville and Caputo fractional derivatives of the directing function $f.$ Also a lower bound is given ...
G. Anastassiou
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On a New Inequality Similar to the Hardy - Hilbert Integral Inequality

Sarajevo Journal of Mathematics
A new inequality similar to the Hardy-Hilbert integral inequality is proved. Some special cases are also deduced.
W. T. Sulaiman
semanticscholar   +1 more source

Another Hardy-Hilbert’s Integral Inequality

Sarajevo Journal of Mathematics
We give a new kind of Hardy-Hilbert integral inequality via homogeneous functions as well as some other generalizations. Special cases are also obtained.
W. Sulaiman
semanticscholar   +1 more source