Research Article

Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex

Volume: 10 Number: 1 April 15, 2022
EN

Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex

Abstract

In this paper, we prove a new integral identity. Basing on this identity, we establish some new dual Simpson-type inequalities for functions whose absolute value of the first derivatives are preinvex. Applications are also given.

Keywords

References

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  4. [4] Lj. Dedi´c, M. Mati´c and J. Peˇcari´c, On dual Euler-Simpson formulae. Bull. Belg. Math. Soc. Simon Stevin 8 (2001), no. 3, 479–504.
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  6. [6] P. T. Harker, Generalized Nash games and quasi-variational inequalities. European journal of Operational research 54 (1991), no.1, 81-94.
  7. [7] B. Meftah, Two dimensional Cˇ ebysˇev type inequalities for functions whose second derivatives are co-ordinated (h1;h2)-preinvex. Konuralp J. Math. 6 (2018), no. 1, 76-83.
  8. [8] B. Meftah, Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are prequasiinvex via power mean inequality. J. Appl. Anal. 25 (2019), no 1, 83-90.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tarek Chiheb This is me
Algeria

Amel Dih This is me
Algeria

Publication Date

April 15, 2022

Submission Date

March 5, 2022

Acceptance Date

April 25, 2022

Published in Issue

Year 2022 Volume: 10 Number: 1

APA
Chiheb, T., Meftah, B., & Dih, A. (2022). Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex. Konuralp Journal of Mathematics, 10(1), 73-78. https://izlik.org/JA24UE43EL
AMA
1.Chiheb T, Meftah B, Dih A. Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex. Konuralp J. Math. 2022;10(1):73-78. https://izlik.org/JA24UE43EL
Chicago
Chiheb, Tarek, Badreddine Meftah, and Amel Dih. 2022. “Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives Are Preinvex”. Konuralp Journal of Mathematics 10 (1): 73-78. https://izlik.org/JA24UE43EL.
EndNote
Chiheb T, Meftah B, Dih A (April 1, 2022) Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex. Konuralp Journal of Mathematics 10 1 73–78.
IEEE
[1]T. Chiheb, B. Meftah, and A. Dih, “Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex”, Konuralp J. Math., vol. 10, no. 1, pp. 73–78, Apr. 2022, [Online]. Available: https://izlik.org/JA24UE43EL
ISNAD
Chiheb, Tarek - Meftah, Badreddine - Dih, Amel. “Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives Are Preinvex”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 73-78. https://izlik.org/JA24UE43EL.
JAMA
1.Chiheb T, Meftah B, Dih A. Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex. Konuralp J. Math. 2022;10:73–78.
MLA
Chiheb, Tarek, et al. “Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives Are Preinvex”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 73-78, https://izlik.org/JA24UE43EL.
Vancouver
1.Tarek Chiheb, Badreddine Meftah, Amel Dih. Dual Simpson Type Inequalities for Functions Whose Absolute Value of the First Derivatives are Preinvex. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):73-8. Available from: https://izlik.org/JA24UE43EL
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