Results 161 to 170 of about 2,803 (176)

Inequalities for α-fractional differentiable functions. [PDF]

J Inequal Appl, 2017
Chu YM, Adil Khan M, Ali T, Silvestru Dragomir S.   +3 more
europepmc   +1 more source

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications. [PDF]

J Inequal Appl, 2017
Xu R, Ma X.
europepmc   +1 more source

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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

Simpson Type Estimations for Convex Functions via Quantum Calculus

Annals of Mathematics and Physics
We first establish a new identity including quantum integrals and quantum numbers via q -differentiable functions. After that, with the help of this equality, a Simpson-type inequality for functions whose quantum derivatives in modulus are convex is ...
Erden Samet, Alp Necmettin, Iftikhar Sabah   +2 more
semanticscholar   +1 more source

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

New Quantum Estimates for Midpoint and Trapezoid Type Inequalities Through (α,m)-Convex Functions with Applications

Annals of Mathematics and Physics
The main goal of current investigation is to present two new q-integral identities for midpoint and trapezoid type inequalities. Then using these identities, we develop several new quantum estimates for midpoint and trapezoid type inequalities via (α, m)-
Gulshan Ghazala, Ali Muhammad Aamir, Budak Huseyin, Hussain Rashida   +3 more
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