Zobrazeno 1 - 10
of 4 531
pro vyhledávání: '"Hermite-Hadamard"'
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 156-178 (2024)
In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our
Externí odkaz:
https://doaj.org/article/2330eff2993a44fda9b221961d48b24a
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we prove some new versions of the Hermite–Hadamard inequality for ( ϕ − h ) $({\phi}-h)$ -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations bet
Externí odkaz:
https://doaj.org/article/6870888f9b374292bdb4636275689975
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-24 (2024)
Abstract In this manuscript, we demonstrate a graphical comparison analysis of the classical, quantum, and symmetric quantum derivatives for any continuous function, evaluated at z = 1 $\mathfrak{z}=1$ and q = 0.5 $\mathtt{q}=0.5$ . We introduce the
Externí odkaz:
https://doaj.org/article/4336bd341f5e474a9c4a3c0b9e797139
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-11 (2024)
Abstract The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed. The outcome
Externí odkaz:
https://doaj.org/article/151a253929c1447bb7cf88cdacfc51c2
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31087-31118 (2024)
Interval-valued maps adjust integral inequalities using different types of ordering relations, including inclusion and center-radius, both of which behave differently. Our purpose was to develop various novel bounds and refinements for weighted Hermi
Externí odkaz:
https://doaj.org/article/acc9d030700544d3945e104a6c0ff4a4
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fracti
Externí odkaz:
https://doaj.org/article/4fba27a38f2b43ee9b08a19b4035dc95
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29018-29030 (2024)
In this paper, we are concerned with the study of the existence and uniqueness of fixed points for the class of functions $ f: C\to C $ satisfying the inequality$ \ell\left(\alpha f(t)+(1-\alpha)f(s)\right)\leq \sigma \ell(\alpha t+(1-\alpha)s) $for
Externí odkaz:
https://doaj.org/article/998b7ed24f8d4ab2830cbe3b2794ec25
Autor:
Jleli Mohamed
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 369-390 (2024)
Fejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss. 24 (1906), 3
Externí odkaz:
https://doaj.org/article/64d4a4906e044ed997d755a2b099791b
Autor:
Attazar Bakht, Matloob Anwar
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28130-28149 (2024)
Integral inequalities involving exponential convexity are significant in both theoretical and applied mathematics. In this paper, we establish a new Hermite-Hadamard type inequality for the class of exponentially convex functions by using the concept
Externí odkaz:
https://doaj.org/article/e3438cda9bca41c7a2862b8a4d4e3bbb
Autor:
Yuanheng Wang, Muhammad Zakria Javed, Muhammad Uzair Awan, Bandar Bin-Mohsin, Badreddine Meftah, Savin Treanta
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27664-27686 (2024)
The primary emphasis of the present study is to introduce some novel characterizations of the interval-valued $ (\mathcal{I}.\mathcal{V}) $ right symmetric quantum derivative and antiderivative operators relying on generalized Hukuhara difference. To
Externí odkaz:
https://doaj.org/article/5b1350803abe42feabf4a4d1bd68b323