Results 51 to 60 of about 240 (118)

Multivariate Caputo left fractional Landau inequalities

Moroccan Journal of Pure and Applied Analysis, 2020
Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
doaj   +1 more source

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

On a discrete version of Fejér inequality for α-convex sequences without symmetry condition

Demonstratio Mathematica
In this study, we introduce the notion of α\alpha -convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof,
Jleli Mohamed, Samet Bessem
doaj   +1 more source

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

Open Mathematics
We establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj   +1 more source

Study of some new integral inequalities involving four adaptable functions

Annals of the West University of Timisoara: Mathematics and Computer Science
In this article, we establish new and flexible integral inequalities that have the property of involving four adaptable functions. Some of them generalize existing results in the literature.
Chesneau Christophe
doaj   +1 more source

Levinson-type inequalities via new Green functions and Montgomery identity

Open Mathematics, 2020
In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad, Khan Khuram Ali, Pečarić Ðilda, Pečarić Josip   +3 more
doaj   +1 more source

Extensions for a refinement of the Hermite -Hadamard inequality

Annals of the West University of Timisoara: Mathematics and Computer Science
We extend a refinement of the Hermite-Hadamard inequality to other convex functions, thus some integral of these convex functions can be estimated by series. We also generalize part of this refinement by introducing one more parameter, then the Stolarsky
Miao JinYan, Dragomir Silvestru Sever
doaj   +1 more source

New and Original Integral Inequalities under Monotonicity and Convexity Assumptions

Annales Mathematicae Silesianae
This article examines integral inequalities dealing with functions of the form “a function raised to the power of another function” under varying monotonicity and convexity assumptions. First, we assess the validity of a referenced theorem on the subject.
Chesneau Christophe
doaj   +1 more source

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

Results Phys, 2023
Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI.   +6 more
europepmc   +1 more source

Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
europepmc   +1 more source