Results 91 to 100 of about 1,345 (129)

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Open Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet, Meftah Badreddine, Lakhdari Abdelghani, Alqudah Manar A.   +3 more
doaj   +1 more source

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

New approaches on fractional integral inequalities for functions whose higher-order derivatives are bounded

Demonstratio Mathematica
In the present paper, utilizing a wide class of fractional integral operators (namely the Riemann-Liouville fractional integral operator) and some functions whose higher-order derivatives are absolutely continuous, we develop novel fractional integral ...
Erden Samet, Ozdemir Burçin Gokkurt, Yildiz Çetin, Cotîrlă Luminiţa-Ioana, Breaz Daniel   +4 more
doaj   +1 more source

Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

Advanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao, Yang Fan, Cheng Tingzhi, Zhou Chunqin   +3 more
doaj   +1 more source

Some inequalities for rational function with prescribed poles and restricted zeros

Demonstratio Mathematica
In this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson, Devi Khangembam Babina, Chanam Barchand   +2 more
doaj   +1 more source

Opial inequality in q-calculus. [PDF]

J Inequal Appl, 2018
Mirković TZ, Tričković SB, Stanković MS.   +2 more
europepmc   +1 more source

An estimate on the Bedrosian commutator in Sobolev space. [PDF]

J Inequal Appl, 2018
Oliver M.
europepmc   +1 more source

Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator. [PDF]

Heliyon
Rahman G, Samraiz M, Shah K, Abdeljawad T, Elmasry Y.   +4 more
europepmc   +1 more source

On Lyapunov-type inequalities for [Formula: see text]-Laplacian systems. [PDF]

J Inequal Appl, 2017
Jleli M, Samet B.
europepmc   +1 more source

Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators. [PDF]

Heliyon
Ahmad A, Anwar M.
europepmc   +1 more source