Results 61 to 70 of about 174 (131)

Some new Fejér type inequalities for (h, g; α - m)-convex functions

Open Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam, Kovač Sanja, Pečarić Josip, Penava Mihaela Ribičić   +3 more
doaj   +1 more source

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

A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +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

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

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

Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]

J Inequal Appl, 2018
Zhang Y, Du TS, Wang H, Shen YJ.
europepmc   +1 more source