Results 101 to 110 of about 231 (171)

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

New developments of fractional integral inequalities and their applications [PDF]

In this paper, we propose the so-called higher order strongly m-polynomial exponentially type convex functions. Some of its algebraic properties are given and a new fractional integral identity is established.
NAÇO, Adrian, LIKO, Rozana, KASHURI, Artion   +2 more
core   +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

A New Characterization of Weighted Peetre K-Functionals (II) [PDF]

, 2007
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the ...
Draganov, Borislav, Ivanov, Kamen
core  

Hölder’s type generalizations of Opial’s inequalities for two absolutely continuous functions and applications

Open Mathematics
In this paper we establish some Hölder’s type generalizations of Opial’s inequalities for two absolutely continuous functions. Applications related to the trapezoid weighted inequalities and to Fejér’s inequality for convex functions are also provided ...
Alazman Ibtehal, Dragomir Silvestru Sever   +1 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

Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative. [PDF]

J Inequal Appl, 2018
Samet B, Aydi H.
europepmc   +1 more source

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

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