EN
New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications
Abstract
In this paper, new upper and lower bounds for the Trapezoid inequality of absolutely continuous functions are obtained. Applications to some special means are provided as well.
Keywords
References
- [1] M.W. Alomari, A companion of the generalized trapezoid inequality and applications, Journal of Math. Appl., 36 (2013), 5–15.
- [2] M.W. Alomari, New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann–Stieltjes integrals and applications, Ukrainian Mathematical Journal, 65 (7) (2013), 995–1018.
- [3] M.W. Alomari, M. Darus and U.S. Kirmaci, Some inequalities of Hermite-Hadamard type for s-convex functions, Acta Mathematica Scientia, 31 B(4) (2011) : 1643–1652.
- [4] M.W. Alomari, M. Darus and U. Kirmaci, Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp. Math. Appl., 59 (2010), 225–232.
- [5] M. Alomari and M. Darus, On the Hadamard’s inequality for log-convex functions on the coordinates, J. Ineq. Appl., 2009, Article ID 283147, 13 pages, doi:10.1155/2009/283147.
- [6] H. Budak, F. Usta and M.Z. Sarikaya, New upper bounds of ostrowski type integral inequalities utilizing Taylor expansion, Hacettepe Journal of Mathematics and Statistics, 47 (3) (2018), 567–578.
- [7] H. Budak, F. Usta, M.Z. Sarikaya and M.E. Ozdemir, On generalization of midpoint type inequalities with generalized fractional integral operators, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 113(2) (2019), 769–790.
- [8] P. S. Bullen, D. S. Mitrinovi´c and M. Vasi´c”, Means and Their Inequalities, Dordrecht: Kluwer Academic, 1988.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Publication Date
October 15, 2019
Submission Date
December 15, 2018
Acceptance Date
May 17, 2019
Published in Issue
Year 2019 Volume: 7 Number: 2
APA
Alomari, M. W. (2019). New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications. Konuralp Journal of Mathematics, 7(2), 319-323. https://izlik.org/JA64CN83PF
AMA
1.Alomari MW. New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications. Konuralp J. Math. 2019;7(2):319-323. https://izlik.org/JA64CN83PF
Chicago
Alomari, Mohammad W. 2019. “New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications”. Konuralp Journal of Mathematics 7 (2): 319-23. https://izlik.org/JA64CN83PF.
EndNote
Alomari MW (October 1, 2019) New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications. Konuralp Journal of Mathematics 7 2 319–323.
IEEE
[1]M. W. Alomari, “New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications”, Konuralp J. Math., vol. 7, no. 2, pp. 319–323, Oct. 2019, [Online]. Available: https://izlik.org/JA64CN83PF
ISNAD
Alomari, Mohammad W. “New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 319-323. https://izlik.org/JA64CN83PF.
JAMA
1.Alomari MW. New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications. Konuralp J. Math. 2019;7:319–323.
MLA
Alomari, Mohammad W. “New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 319-23, https://izlik.org/JA64CN83PF.
Vancouver
1.Mohammad W. Alomari. New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):319-23. Available from: https://izlik.org/JA64CN83PF
