Zobrazeno 1 - 10
of 249
pro vyhledávání: '"jensen-mercer"'
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 385-416 (2024)
We establish new conformable fractional Hermite-Hadamard (H–H) Mercer type inequalities for harmonically convex functions using the concept of support line. We introduce two new conformable fractional auxiliary equalities in the Mercer sense and ap
Externí odkaz:
https://doaj.org/article/0a67efddb8294cae969979d7a76e45be
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract Strongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality. This paper addit
Externí odkaz:
https://doaj.org/article/2bd0e3b790804ec0bb0ca185b5723334
Publikováno v:
Mathematics, Vol 12, Iss 23, p 3711 (2024)
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generali
Externí odkaz:
https://doaj.org/article/187e24efeed9444a9297e4ce3f80e4f0
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 307-325 (2024)
Motivated by the results of Niezgoda, corresponding to the generalization of Mercer's inequality for positive weights, in this paper, we consider real weights, for which we establish related results. To be more specific, Niezgoda's results are derive
Externí odkaz:
https://doaj.org/article/819dda314fbc4e44acaf132aff466b24
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 547 (2024)
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the
Externí odkaz:
https://doaj.org/article/c3740942f58b4074b357e58424bab0ea
Publikováno v:
Axioms, Vol 13, Iss 8, p 553 (2024)
In this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly
Externí odkaz:
https://doaj.org/article/3ecf47609b0041d9a6b6c0d1a6033c2b
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 472 (2024)
In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator). Moreover, a new lemma of this type is proved, and new identities
Externí odkaz:
https://doaj.org/article/1ef7fb280c704e15a1f94fd68600925d
Publikováno v:
In Information Sciences March 2024 662
Autor:
Bandar Bin-Mohsin, Muhammad Zakria Javed, Muhammad Uzair Awan, Hüseyin Budak, Awais Gul Khan, Clemente Cesarano, Muhammad Aslam Noor
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 20841-20870 (2023)
The objective of this paper is to explore novel unified continuous and discrete versions of the Trapezium-Jensen-Mercer (TJM) inequality, incorporating the concept of convex mapping within the framework of $ {\mathfrak{q}} $-calculus, and utilizing m
Externí odkaz:
https://doaj.org/article/9fe684ee7c7e468cbebea689ecc3fdbd
Publikováno v:
Fractal and Fractional, Vol 8, Iss 7, p 408 (2024)
We propose a new definition of the γ-convex stochastic processes (CSP) using center and radius (CR) order with the notion of interval valued functions (C.RI.V). By utilizing this definition and Mean-Square Fractional Integrals, we generalize fractio
Externí odkaz:
https://doaj.org/article/32b5329fd0714548b6faf44fddf845c0