Results 31 to 40 of about 94,757 (312)

Fractional Integral Inequalities of Hermite-Hadamard Type for (h,g;m)-Convex Functions with Extended Mittag-Leffler Function

Fractal and Fractional, 2022
Several fractional integral inequalities of the Hermite–Hadamard type are presented for the class of (h,g;m)-convex functions. Applied fractional integral operators contain extended generalized Mittag-Leffler functions as their kernel, thus enabling new ...
M. Andrić
semanticscholar   +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

Some General Fractional Integral Inequalities Involving LR–Bi-Convex Fuzzy Interval-Valued Functions

Fractal and Fractional, 2022
The main objective of this paper is to introduce a new class of convexity called left-right–bi-convex fuzzy interval-valued functions. We study this class from the perspective of fractional Hermite–Hadamard inequalities, involving a new fractional ...
Bandar Bin-Mohsin, Sehrish Rafique, Clemente Cesarano, M. Javed, M. U. Awan, A. Kashuri, M. Noor   +6 more
semanticscholar   +1 more source

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann-Liouville Fractional Integral Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Sana Gul, Muhammad Bilal Khan, M. Noor, P. Mohammed, Y. Chu   +4 more
semanticscholar   +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
doaj   +1 more source

Unified treatment of fractional integral inequalities via linear functionals [PDF]

, 2016
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea, Nikolova, Ludmila, Varošanec, Sanja   +2 more
core   +2 more sources

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

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

, 2009
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo, Pradolini, Gladis, Salinas, Oscar   +2 more
core   +3 more sources