Results 11 to 20 of about 1,333 (161)

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

Advances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo, Kamaleldin Abodayeh   +4 more
doaj   +1 more source

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

Проблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
doaj   +1 more source

Local Fractional Integral Hölder-Type Inequalities and Some Related Results

Fractal and Fractional, 2022
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen, Jiansuo Liang, Hari M. Srivastava, Chao Lv   +3 more
doaj   +1 more source

Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

Journal of Mathematics, 2020
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz   +3 more
doaj   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Fractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom, Miguel Vivas-Cortez, Muhammad Amer Latif, Hijaz Ahmad   +3 more
doaj   +1 more source

New general Grüss-type inequalities over σ-finite measure space with applications

Advances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal, Muhammad Adil Khan, Thabet Abdeljawad, Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar   +5 more
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Fractional integral inequalities and global solutions of fractional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
Tao Zhu
doaj   +1 more source

On Some Integral Inequalities via Conformable Fractional Integrals [PDF]

Applied Mathematics and Nonlinear Sciences, 2020
AbstractIn the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak, Deniz, Erhan, Yuksel, Ebru   +2 more
openaire   +4 more sources

On the weighted fractional integral inequalities for Chebyshev functionals

Advances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Sami Ullah Khan, Dumitru Baleanu, V. Vijayakumar   +4 more
doaj   +1 more source