Results 11 to 20 of about 1,437,498 (311)

Fractional Ostrowski type inequalities for differentiable harmonically convex functions

AIMS Mathematics, 2022
In this paper, we prove some new Ostrowski type inequalities for differentiable harmonically convex functions using generalized fractional integrals. Since we are using generalized fractional integrals to establish these inequalities, therefore we obtain
Thanin Sitthiwirattham, Muhammad Aamir Ali , Hüseyin Budak, Sotiris K. Ntouyas, Chanon Promsakon   +4 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
doaj   +1 more source

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

On generalizations of trapezoid and Bullen type inequalities based on generalized fractional integrals

AIMS Mathematics, 2023
In this paper, we establish an integral identity involving differentiable functions and generalized fractional integrals. Then, using the newly established identity, we prove some new general versions of Bullen and trapezoidal type inequalities for ...
Hüseyin Budak, Fatma Ertuğral , Muhammad Aamir Ali, Candan Can Bilişik, Mehmet Zeki Sarikaya, Kamsing Nonlaopon   +5 more
doaj   +1 more source

Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent

Fractal and Fractional, 2022
In this paper, we introduce grand weighted Herz–Morrey spaces with a variable exponent and prove the boundedness of fractional integrals on these spaces.
B. Sultan, Fatima M. Azmi, M. Sultan, T. Mahmood, Nabil Mlaiki, N. Souayah   +5 more
semanticscholar   +1 more source

Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions

Journal of Function Spaces, 2022
In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon, Muhammad Aamir Ali, Hüseyin Budak, Pinar Kösem, Kamsing Nonlaopon, Thanin Sitthiwirattham   +5 more
doaj   +1 more source

Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent

AIMS Mathematics, 2022
In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
B. Sultan, M. Sultan, Mazhar Mehmood, Fatima M. Azmi, M. A. Alghafli, Nabil Mlaiki   +5 more
semanticscholar   +1 more source

On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals

Advances in Differential Equations, 2021
In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters.
H. Budak, F. Hezenci, H. Kara
semanticscholar   +1 more source

Katugampola Fractional Calculus With Generalized k−Wright Function

European Journal of Mathematical Analysis, 2021
In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
doaj   +1 more source

Some inequalities for multiplicative tempered fractional integrals involving the $ \lambda $-incomplete gamma functions

, 2021
In this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish
Hao Fu, Yung-Ning Peng, T. Du
semanticscholar   +1 more source