Results 11 to 20 of about 186 (116)

Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

Mathematics, 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, Josip Pečarić, Sanja Tipurić-Spužević   +2 more
doaj   +1 more source

Desigualdades fraccionarias generalizadas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach [PDF]

, 2022
Usando fórmulas de Taylor vectoriales fraccionarias izquierda y derecha de Caputo generalizadas, establecemos desigualdades fraccionarias mixtas de tipo Ostrowski y Grüss que involucran varias funciones valoradas del álgebra de Banach.
Anastassiou, George A.
core   +2 more sources

Oxidative stress in elderly population: A prevention screening study

AGING 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

Journal 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, Rehana Ashraf, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Imtiaz Ahmad   +4 more
wiley   +1 more source

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

Journal 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, Muhammad Idrees, Dumitru Baleanu, Yu-Ming Chu, Serkan Araci   +4 more
wiley   +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

Combinatorial extensions of Popoviciu\u27s inequality via Abel-Gontscharoff polynomial with applications in information theory [PDF]

, 2020
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions.
Josip Pečarić, Saad Ihsan Butt, Tahir Rasheed, Đilda Pečarić   +3 more
core   +2 more sources

Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy

Advances in Difference Equations, 2020
In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique, Muhammad Imran, Khuram Ali Khan, Josip Pečarić   +3 more
doaj   +1 more source

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

Journal 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