PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
  • Sesja wygasła!

Znaleziono wyników: 11

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  Hermite-Hadamard inequality
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
New generalized trapezoidal type integral inequalities with applications
Kashuri Artion, Farid Ghulam, Set Erhan
Journal of Applied Analysis
|
2021
|
Vol. 27, nr 1
35--46
EN
Trapezoidal inequalities for functions of diverse nature are useful in numerical computations. The authors have proved an identity for a generalized integral operator via a differentiable function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in the recent decades. Various special cases have been identified. Some applications of presented results have been analyzed.
2
Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in Rn\mathbb{R}^{n}
Dragomir Silvestru Sever
Journal of Applied Analysis
|
2020
|
Vol. 26, nr 1
67--77
EN
In this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite-Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space Rn for any n ≥ 2.
3
Refinements of the Hermite-Hadamard inequality for co-ordinated convex mappings
Budak Huseyin, Usta Fuat, Sarikaya Mehmet Zeki
Journal of Applied Analysis
|
2019
|
Vol. 25, nr 1
73--81
EN
This paper is motivated by the recent progress on the Hermite-Hadamard inequality for convex functions defined on the bounded closed interval, obtained by Z. Pavić [Z. Pavić, Improvements of the Hermite-Hadamard inequality, J. Inequal. Appl. 2015 (2015), Article ID 222]. As a generalization, we obtained a new refinement of the Hermite-Hadamard inequality for co-ordinated convex functions defined on the rectangle.
4
Generalization of different type integral inequalities for generalized (s, m)-preinvex Godunova-Levin functions
Kashuri A., Liko R.
Journal of Applied Analysis
|
2018
|
Vol. 24, nr 2
211--221
EN
In the present paper, the notion of generalized (s, m)-preinvex Godunova-Levin function of second kind is introduced, and some new integral inequalities involving generalized (s, m)-preinvex Godunova-Levin functions of second kind along with beta function are given. By using a new identity for fractional integrals, some new estimates on generalizations of Hermite-Hadamard, Ostrowski and Simpson type inequalities for generalized (s, m)-preinvex Godunova-Levin functions of second kind via Riemann-Liouville fractional integral are established.
5
Content available remote On Hermite-Hadamard type inequalities for functions whose first derivative absolute values are convex and concave
Qaisar S., Hussain S.
Fasciculi Mathematici
|
2017
|
Nr 58
155--166
EN
In this paper, we derive general integral identity by establishing new Hermite-Hadamard type inequalities for functions whose absolute values of derivatives are convex and concave. Corresponding error estimates for midpoint formula are also included. Moreover, some applications to special means of real numbers are also provided.
6
Content available remote Hermite-Hadamard type inequalities with applications
Khan M. A., Ali T., Khan T. U.
Fasciculi Mathematici
|
2017
|
Nr 59
57--74
EN
In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function ƒ such that |ƒ''|q is convex or concave for q ≥ 1. Second, by using these results, we present applications to ƒ-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.
7
Content available remote On Hermite-Hadamard type inequalities for s-convex mappings via fractional integrals of a function with respect to another function
Budak H., Sarikaya M. Z.
Fasciculi Mathematici
|
2016
|
Nr 57
25--36
EN
In this paper, we obtain some Hermite-Hadamard type inequalities for s-convex function via fractional integrals with respect to another function which generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. The results presented here provide extensions of those given in earlier works.
8
Content available Hermite-Hadamard type inequalities for Wright-convex functions of several variables
Śliwińska D., Wąsowicz S.
Opuscula Mathematica
|
2015
|
Vol. 35, no. 3
411--419
EN
We present Hermite-Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices.
9
Content available remote Hermite-Hadamard inequalities for convex set-valued functions
Mitroi F. C., Nikodem K., Wąsowicz S.
Demonstratio Mathematica
|
2013
|
Vol. 46, nr 4
655--662
EN
The following version of the weighted Hermite-Hadamard inequalities for set-valued functions is presented: Let Y be a Banach space and F : [a, b]→cl(Y) be a continuous set-valued function. If F is convex, then (…) , where μ is a Borel measure on [a, b] and xμ is the barycenter of on [a, b]. The converse result is also given.
10
Content available On some inequality of Hermite-Hadamard type
Wąsowicz S., Witkowski A.
Opuscula Mathematica
|
2012
|
Vol. 32, no. 3
591-600
EN
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal. We also present its counterpart of Fejér type.
11
Content available remote On some new inequalities of Hermite-Hadamard-Fejer type involving convex functions
Tseng K., Hwang S., Dragomir S.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 1
51-64
EN
In this paper, we establish some inequalities of Hermite-Hadamard-Fejér type for m-convex functions and s-convex functions.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.