Results 21 to 30 of about 6,057 (310)

Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications

AIMS Mathematics, 2022
Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir, Shahid Qaisar , Saad Ihsan Butt , Hassen Aydi, Manuel De la Sen   +4 more
doaj   +1 more source

The interpolation of Young’s inequality using dyadics

Journal of Inequalities and Applications, 2019
In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
doaj   +1 more source

Some Ostrowski type inequalities for mappings whose second derivatives are preinvex function via fractional integral operator

AIMS Mathematics, 2022
The comprehension of inequalities in preinvexity is very important for studying fractional calculus and its effectiveness in many applied sciences. In this article, we develop and study of fractional integral inequalities whose second derivatives are ...
Jamshed Nasir, Shahid Qaisar, Saad Ihsan Butt , Ather Qayyum   +3 more
doaj   +1 more source

On further refinements for Young inequalities

Open Mathematics, 2018
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj   +1 more source

Multiple-Term Refinements of Young Type Inequalities

Journal of Mathematics, 2016
Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality involving Kantorovich constants.
Daeshik Choi
doaj   +1 more source

Some Refinements of the Numerical Radius Inequalities via Young Inequality [PDF]

Kragujevac Journal of Mathematics, 2021
In this paper, we get an improvement of the Hölder-McCarthy operator inequality in the case when r ≥ 1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert space operators.
Heydarbeygi, Z., Amyari, M.
openaire   +2 more sources

Some new Grüss inequalities associated with generalized fractional derivative

AIMS Mathematics, 2023
In this paper, we prove several new integral inequalities for the k-Hilfer fractional derivative operator, which is a fractional calculus operator. As a result, we have a whole new set of fractional integral inequalities.
Sajid Iqbal , Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +4 more
doaj   +1 more source

Noncommutative Uncertainty Principles [PDF]

, 2014
The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras.
Jiang, Chunlan, Liu, Zhengwei, Wu, Jinsong   +2 more
core   +1 more source

Power series inequalities via Young’s inequality with applications [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, Alawiah, Dragomir, Sever S, Darus, Maslina   +2 more
openaire   +1 more source

On certain Ostrowski type integral inequalities for convex function via AB-fractional integral operator

AIMS Mathematics, 2023
We investigate and prove a new lemma for twice differentiable functions with the fractional integral operator AB. Based on this newly developed lemma, we derive some new results about this identity.
Maimoona Karim, Aliya Fahmi, Zafar Ullah, Muhammad Awais Tariq Bhatti , Ather Qayyum   +4 more
doaj   +1 more source