Research Article

New Upper and Lower Bounds for the Trapezoid Inequality of Absolutely Continuous Functions and Applications

Volume: 7 Number: 2 October 15, 2019
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. [1] M.W. Alomari, A companion of the generalized trapezoid inequality and applications, Journal of Math. Appl., 36 (2013), 5–15.
  2. [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. [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. [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. [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. [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. [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. [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

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
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