Results 31 to 40 of about 60,244 (278)

Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities

Fractal and Fractional, 2021
In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali, Aiman Mukheimer, Thabet Abdeljawad, Shahid Mubeen, Sabila Ali, Gauhar Rahman, Kottakkaran Sooppy Nisar   +6 more
doaj   +1 more source

Affine fractional $$L^p$$ Sobolev inequalities

Mathematische Annalen, 2022
AbstractSharp affine fractional $$L^p$$ L p Sobolev inequalities for functions on $${\mathbb {R}}^n$$ R n are ...
Julián Haddad, Monika Ludwig
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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

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

Fractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +1 more source

Simpson Type Conformable Fractional Inequalities

Journal of Function Spaces, 2022
In this study, a new Simpson type conformable fractional integral equality for convex functions is established. Based on this identity, some results related to Simpson-like type inequalities are obtained. Also, some estimation results are given for the special cases of the derivative of a function used in our results, and some applications are ...
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Fractional Caffarelli–Kohn–Nirenberg inequalities [PDF]

Journal of Functional Analysis, 2018
We establish a full range of Caffarelli-Kohn-Nirenberg inequalities and their variants for fractional Sobolev spaces.
Nguyen, Hoai-Minh, Squassina, Marco
openaire   +4 more sources

The Fractional Integral Inequalities Involving Kober and Saigo–Maeda Operators

Communications in Advanced Mathematical Sciences, 2023
This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions.
Deepak Kumar Jain, Farooq Ahmad, Rajshree Mıshra, Kalpana Rajput, Altaf Ahmad Bhat   +4 more
doaj   +1 more source

Some generalized fractional integral inequalities with nonsingular function as a kernel

AIMS Mathematics, 2021
Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis.
Shahid Mubeen, Rana Safdar Ali , Iqra Nayab, Gauhar Rahman, Kottakkaran Sooppy Nisar, Dumitru Baleanu   +5 more
doaj   +1 more source

Some inequalities for continued fractions [PDF]

Mathematics of Computation, 1987
For some continued fractions Q = b 0 + a 1 / ( b 1 + ⋯ ) Q = {b_0} + {a_1}/({b_1} + \cdots ) with mth ...
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Inequalities for α-fractional differentiable functions [PDF]

Journal of Inequalities and Applications, 2017
In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.
Yu‐Ming Chu, Muhammad Adil Khan, Tahir Ali, Sever S Dragomir   +3 more
openaire   +5 more sources