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Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 233، دوره 13، شماره 1، خرداد 2022، صفحه 2885-2895 اصل مقاله (431.12 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6015 | ||
| نویسندگان | ||
| Sabir Yasin* 1؛ Masnita Misiran1، 2؛ Zurni Omar1 | ||
| 1Department of Mathematics and Statistics, School of Quantitative Sciences, Utara University, Malaysia, 06010 UUM Sintok, Kedah, Malaysia | ||
| 2Centre for Testing, Measurement and Appraisal, Utara University, Malaysia, 06010 UUM Sintok, Kedah, Malaysia | ||
| تاریخ دریافت: 21 شهریور 1400، تاریخ بازنگری: 28 مهر 1400، تاریخ پذیرش: 04 دی 1400 | ||
| چکیده | ||
| In this paper, $(h_1,h_2)$-convex and $s$-convex functions are merged to form $(h_1,h_2,s)$-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the $(h_1,h_2,s)$-convex function and its derivatives. Some special cases for these extended H-H and Fejer's inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard $(H-H)$ and Fejer's types of inequalities with the average (mean) values are also discussed. | ||
| کلیدواژه‌ها | ||
| Inequality؛ Hermite-Hadamard (H-H)؛ Fejer؛ Convex function | ||
| مراجع | ||
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[1] M.U. Awan, Some new classes of convex functions and inequalities, Miskolc Math. Notes 19(1) (2018) 77–94. [2] G. Cristescu, L. Lupsa and L. Lupsa, Non-connected convexities and applications, Springer Science & Business Media, 2002. [3] S.S. Dragomir and R. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11(5) (1998) 91–95. [4] S.S. Dragomir, J. Pecaric and L.E. Persson, Some inequalities of Hadamard type, Soochow J. Math. 21(3) (1995) 335–341. [5] M.T. Hakiki and A. Wibowo, Hermite-Hadamard-Fej`er type inequalities for s-convex functions in the second sense via Riemann-Liouville fractional integral, J. Phys. Conf. Ser. 1442(1) (2020) 012039. [6] C.Y. Jung, G. Farid, H. Yasmeen, Y.P. Lv and J. Pecaric, Refinements of some fractional integral inequalities for refined (α, h-m)-convex function, Adv. Diff. Equ. 2021(1) (2021) 1–18. [7] U.S. Kirmaci, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comput. 147(1) (2004) 137–146. [8] P. Liu, M.B. Khan, M.A. Noor and K.I. Noor, New Hermite–Hadamard and Jensen inequalities for log-s-convex fuzzy-interval-valued functions in the second sense, Complex Intell. Syst. (2021) 1–15. [9] N. Mehreen and M. Anwar, Hermite-Hadamard type inequalities via exponentially (p, h)-convex functions, IEEE Access 8 (2020) 37589–37595. [10] M.V. Mihai, M.A. Noor, K.I. Noor and M.U. Awan, Some integral inequalities for harmonic h-convex functions involving hypergeometric functions, Appl. Math. Comput. 252 (2015) 257–262. [11] M.A. Noor, K.I. Noor and M.U. Awan, Integral inequalities for some new classes of convex functions, Amer. J. Appl. Math. 3(3–1) (2015) 1–5. [12] M.A. Noor, K.I. Noor and M.U. Awan, Generalized convexity and integral inequalities, Appl. Math. Info. Sci. 9(1) (2015). [13] M.A. Noor, K.I. Noor and M.U. Awan, Integral inequalities for coordinated harmonically convex functions, Complex Variab. Ellipt. Equ. 60(6) (2015) 776–786. [14] M.A. Noor, K.I. Noor, M.U. Awan and S. Costache, Some integral inequalities for harmonically h-convex functions, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 77(1) (2015) 5–16. [15] M.Z. Sarikaya, E. Set, H. Yaldiz and N. Ba¸sak, Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities, Math. Comput. Model. 57(9-10) (2013) 2403–2407. [16] S. Varosanec, On h-convexity, J. Math. Anal. Appl. 326(1) (2007) 303–311. [17] S. Yasin, M. Misiran and Z. Omar, Hermite-Hadamard and Fejer’s type inequalities for product of different convex functions, Design Engin. 2021(7) (2021) 5550–5560. | ||
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