Results 1 to 10 of about 48 (46)

A novel method for assessing and measuring homophily in networks through second-order statistics. [PDF]

open access: yesSci Rep, 2022
We present a new method for assessing and measuring homophily in networks whose nodes have categorical attributes, namely when the nodes of networks come partitioned into classes (colors).
Apollonio N, Franciosa PG, Santoni D.
europepmc   +2 more sources

On generalization of refinement of Jensen's inequality using Fink's identity and Abel-Gontscharoff Green function. [PDF]

open access: yesJ Inequal Appl, 2017
In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Niaz T, Khan KA, Pečarić J.
europepmc   +2 more sources

Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial

open access: yesJournal of Inequalities and Applications, 2022
In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi   +3 more
doaj   +1 more source

Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

open access: yesMathematics, 2023
The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, and extensions. In the present article, we provide generalizations of Sokolov’s inequality in weighted Lebesgue LωΩ,A,μ spaces by employing ...
Saad Ihsan Butt   +2 more
doaj   +1 more source

Oxidative stress in elderly population: A prevention screening study

open access: yesAGING MEDICINE, Volume 3, Issue 3, Page 205-213, September 2020., 2020
Different factors involved in healthy aging. Abstract Background Aging is a multifactorial phenomenon, characterized by a progressive decline in the efficiency of biochemical and physiological processes and an increased susceptibility to disease. There is increasing evidence that aging and age‐related disease are correlated with an oxidative stress (OS)
Davide Gorni, Annarosa Finco
wiley   +1 more source

Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense

open access: yesJournal of Mathematics, Volume 2020, Issue 1, 2020., 2020
With the great progress of fractional calculus, integral inequalities have been greatly enriched by fractional operators; users and researchers have formed a real‐world phenomenon in the production of the evaluation process, which results in convexity. Monotonicity and inequality theory has a strong relationship, whichever we work on, and we can apply ...
Saima Rashid   +4 more
wiley   +1 more source

Levinson-type inequalities via new Green functions and Montgomery identity

open access: yesOpen 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   +3 more
doaj   +1 more source

New Estimates of q1q2‐Ostrowski‐Type Inequalities within a Class of n‐Polynomial Prevexity of Functions

open access: yesJournal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is called n‐polynomial preinvex functions. We use the n‐polynomial preinvex functions to develop q1q2‐analogues of the Ostrowski‐type integral inequalities on coordinates.
Humaira Kalsoom   +4 more
wiley   +1 more source

On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus

open access: yesJournal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In the article, we present several generalizations for the generalized Čebyšev type inequality in the frame of quantum fractional Hahn’s integral operator by using the quantum shift operator σΨqς=qς+1−qσς∈l1,l2,σ=l1+ω/1−q,010
Saima Rashid   +5 more
wiley   +1 more source

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

open access: yesMathematical Modelling and Analysis, 2016
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic   +2 more
doaj   +1 more source

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