Results 11 to 20 of about 154 (90)

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

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

Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results

open access: yesJournal of Inequalities and Applications, 2020
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
doaj   +1 more source

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

open access: yesJournal of Inequalities and Applications, 2020
This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique   +3 more
doaj   +1 more source

Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial

open access: yesJournal of Inequalities and Applications, 2016
In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s ...
Ravi P Agarwal   +2 more
doaj   +1 more source

Extensions and improvements of Sherman’s and related inequalities for n-convex functions

open access: yesOpen Mathematics, 2017
This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić   +1 more
doaj   +1 more source

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip   +2 more
doaj   +1 more source

On some Chebyshev type inequalities for the complex integral [PDF]

open access: yes, 2019
Assume that f and g are continuous on γ, γ ⊂ C is a piecewisesmooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w withw 6= u, and the complex Chebyshev functional is defined bySean f y g funciones continuas sobre γ, siendo γ ⊂ C un ...
Dragomir, Sever S
core   +3 more sources

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