Research Article

A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation

Volume: 7 Number: 2 October 15, 2019
EN

A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation

Abstract

A weighted companion of Ostrowski--Midpoint type inequality is established. Application to a composite quadrature rule is provided.

Keywords

References

  1. [1] M.W. Alomari and S.S. Dragomir, Various error estimations for several Newton–Cotes quadrature formulae in terms of at most first derivative and applications in numericaal integration, Jordan J. Math. & Stat., 7 (2) 2014, 89–108.
  2. [2] M.W. Alomari, A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation, Preprint, RGMIA Res. Rep. Coll., 14 (2011), article87. [http://ajmaa.org/RGMIA/v14.php]
  3. [3] M.W. Alomari, A companion of Dragomir’s generalization of Ostrowski’s inequality and applications in numerical integration, Ukrainian Math. J., 64 (4) (2012), 491–510
  4. [4] 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.
  5. [5] 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.
  6. [6] A. Ostrowski, U¨ ber die absolutabweichung einer differentiiebaren funktion vonihrem integralmittelwert, Comment. Math. Helv., 10 (1938) 226–227.
  7. [7] Ostrowski integral inequality for mappings of bounded variation, Bull. Austral. Math. Soc., 60 (1999) 495–508.
  8. [8] S.S. Dragomir, A companion of Ostrowski’s inequality for functions of bounded variation and applications, RGMIA Preprint, Vol. 5 Supp. (2002) article No. 28. [http://ajmaa.org/RGMIA/papers/v5e/COIFBVApp.pdf]

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 15, 2019

Submission Date

January 5, 2019

Acceptance Date

May 16, 2019

Published in Issue

Year 2019 Volume: 7 Number: 2

APA
Alomari, M. W. (2019). A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation. Konuralp Journal of Mathematics, 7(2), 337-343. https://izlik.org/JA76LL56MY
AMA
1.Alomari MW. A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation. Konuralp J. Math. 2019;7(2):337-343. https://izlik.org/JA76LL56MY
Chicago
Alomari, Mohammad W. 2019. “A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation”. Konuralp Journal of Mathematics 7 (2): 337-43. https://izlik.org/JA76LL56MY.
EndNote
Alomari MW (October 1, 2019) A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation. Konuralp Journal of Mathematics 7 2 337–343.
IEEE
[1]M. W. Alomari, “A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation”, Konuralp J. Math., vol. 7, no. 2, pp. 337–343, Oct. 2019, [Online]. Available: https://izlik.org/JA76LL56MY
ISNAD
Alomari, Mohammad W. “A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation”. Konuralp Journal of Mathematics 7/2 (October 1, 2019): 337-343. https://izlik.org/JA76LL56MY.
JAMA
1.Alomari MW. A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation. Konuralp J. Math. 2019;7:337–343.
MLA
Alomari, Mohammad W. “A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation”. Konuralp Journal of Mathematics, vol. 7, no. 2, Oct. 2019, pp. 337-43, https://izlik.org/JA76LL56MY.
Vancouver
1.Mohammad W. Alomari. A Weighted Companion of Ostrowski-Midpoint Inequality for Mappings of Bounded Variation. Konuralp J. Math. [Internet]. 2019 Oct. 1;7(2):337-43. Available from: https://izlik.org/JA76LL56MY
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