Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (3)

Search Parameters:
Keywords = Abel–Gontscharoff interpolating polynomial

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
20 pages, 346 KB  
Article
Innovative Interpolating Polynomial Approach to Fractional Integral Inequalities and Real-World Implementations
by Muhammad Samraiz, Saima Naheed, Ayesha Gul, Gauhar Rahman and Miguel Vivas-Cortez
Axioms 2023, 12(10), 914; https://doi.org/10.3390/axioms12100914 - 26 Sep 2023
Cited by 2 | Viewed by 1736
Abstract
Our paper explores Hermite–Hadamard inequalities through the application of Abel–Gontscharoff Green’s function methodology, which involves interpolating polynomials and Riemann-type generalized fractional integrals. While establishing our main results, we explore new identities. These identities are used to estimate novel findings for functions, such that [...] Read more.
Our paper explores Hermite–Hadamard inequalities through the application of Abel–Gontscharoff Green’s function methodology, which involves interpolating polynomials and Riemann-type generalized fractional integrals. While establishing our main results, we explore new identities. These identities are used to estimate novel findings for functions, such that the second derivative of the functions is monotone, absolutely convex, and concave. A section relating the results of exploration to generalized means and trapezoid formulas is included in the applications. We anticipate that the method presented in this study will inspire further research in this field. Full article
(This article belongs to the Special Issue Current Research on Mathematical Inequalities II)
1 pages, 146 KB  
Correction
Correction: Krulić Himmelreich et al. Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial. Mathematics 2021, 9, 1724
by Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz and Marjan Praljak
Mathematics 2023, 11(7), 1609; https://doi.org/10.3390/math11071609 - 27 Mar 2023
Viewed by 861
Abstract
In the published publication [...] Full article
(This article belongs to the Special Issue Mathematical Inequalities with Applications)
14 pages, 270 KB  
Article
Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial
by Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz and Marjan Praljak
Mathematics 2021, 9(15), 1724; https://doi.org/10.3390/math9151724 - 22 Jul 2021
Cited by 6 | Viewed by 2292 | Correction
Abstract
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications. Full article
(This article belongs to the Special Issue Mathematical Inequalities with Applications)
Back to TopTop