Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Eze R. Nwaeze"'
Autor:
Seth Kermausuor, Eze R. Nwaeze
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 471 (2024)
All types of inequalities play a very important role in various aspects of mathematical analysis, such as approximation theory and differential equation theory [...]
Externí odkaz:
https://doaj.org/article/07cdbbf2bed34a1e90b5839f48e63204
Publikováno v:
Foundations, Vol 3, Iss 1, Pp 49-62 (2023)
In this paper, by using Jensen–Mercer’s inequality we obtain Hermite–Hadamard–Mercer’s type inequalities for a convex function employing left-sided (k, ψ)-proportional fractional integral operators involving continuous strictly increasing
Externí odkaz:
https://doaj.org/article/7bfdab0c720044948c7760425b8ce183
Publikováno v:
Fractal and Fractional, Vol 8, Iss 3, p 125 (2024)
In particular, the fractional forms of Hermite–Hadamard inequalities for the newly defined class of convex mappings proposed that are known as coordinated left and right ℏ-convexity (LR-ℏ-convexity) over interval-valued codomain. We exploit the
Externí odkaz:
https://doaj.org/article/c52b7d82354647b98197ca753d947706
Autor:
Muhammad Bilal Khan, Eze R. Nwaeze, Cheng-Chi Lee, Hatim Ghazi Zaini, Der-Chyuan Lou, Khalil Hadi Hakami
Publikováno v:
Mathematics, Vol 11, Iss 24, p 4974 (2023)
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest. Convexity has undergone several improvements, generalizations, and extensions over time in an
Externí odkaz:
https://doaj.org/article/c6f26f828758485cb91bf7320ab83b50
Autor:
Seth Kermausuor, Eze R. Nwaeze
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 740 (2023)
We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators. As an a
Externí odkaz:
https://doaj.org/article/48c5601a2b374047a8367707bf24a0bb
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-23 (2021)
Abstract The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales. Our results generali
Externí odkaz:
https://doaj.org/article/5b06c9c16b5c4b7ea85a4d87b15d17d4
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1889-1904 (2021)
In this paper, it is our purpose to establish some new fractional inequalities of the Hermite–Hadamard type for the $ m $-polynomial convex and harmonically convex functions. Our results involve the Caputo–Fabrizio and $ \zeta $-Riemann–Liouvi
Externí odkaz:
https://doaj.org/article/60e9cd7e01554fc182a58f900661c503
Fractional inclusions of the Hermite–Hadamard type for m-polynomial convex interval-valued functions
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract The notion of m-polynomial convex interval-valued function Ψ = [ ψ − , ψ + ] $\Psi =[\psi ^{-}, \psi ^{+}]$ is hereby proposed. We point out a relationship that exists between Ψ and its component real-valued functions ψ − $\psi ^{-}
Externí odkaz:
https://doaj.org/article/f529b3595eb84c359a25cd49f4ea4590
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6087-6107 (2020)
The Hermite-Hadamard inequality by means of the Riemann-Liouville fractional integral operators is already known in the literature. In this paper, it is our purpose to reconstruct this inequality via a relatively new method called the green function
Externí odkaz:
https://doaj.org/article/f3d5d846fcdb46ffaa862f2fa2614a4f
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract We introduce a new class of functions called strongly ( η , ω ) $(\eta,\omega)$ -convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex fu
Externí odkaz:
https://doaj.org/article/a311ad64c4b446c48b35a38f0a142d20