참고문헌
- H. Budak, M. Z. Sarikaya, and H. Yildirim, New inequalities for local fractional integrals, RGMIA Research Report Collection 18 (2015), Article 88, 13 pages.
- J. Choi and P. Agarwal, A note on fractional integral operator associated with multiindex Mittag-Leffler functions, Filomat 30 (2016), no. 7, 1931-1939. https://doi.org/10.2298/FIL1607931C
- S. Erden and M. Z. Sarikaya, Generalized Pompeiu type inequalities for local fractional integrals and its applications, Appl. Math. Comput. 274 (2016), 282-291.
- D. S. Mitrinovic, Elementary Inequalities, P. Noordhoff Ltd., Groningen, Netherlands, 1964.
- H. Mo, Generalized Hermite-Hadamard inequalities involving local fractional integrals, arXiv:1410.1062 [math.AP].
-
H. Mo and X. Sui, Hermite-Hadamard type inequalities for generalized s-convex functions on real linear fractal set
$\mathbb{R}^{\alpha}\;(0\;<\;{\alpha}\;<\;1)$ , arXiv:1506.07391v1 [math.CA]. - H. Mo, X. Sui, and D. Yu, Generalized convex functions on fractal sets and two related inequalities, Abstr. Appl. Anal. 2014 (2014), Article ID 636751, 7 pages.
- A. M. Ostrowski, Uber die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert, Comment. Math. Helv. 10 (1938), 226-227.
- M. Z. Sarikaya and H. Budak, Generalized Ostrowski type inequalities for local fractional integrals, RGMIA Research Report Collection 18 (2015), Article 62, 11 pages.
- M. Z. Sarikaya, T. Tunc, and H. Budak, On generalized some integral inequalities for local fractional integrals, Appl. Math. Comput. 276 (2016), 316-323. https://doi.org/10.1016/j.amc.2015.11.096
- E. Set and M. Tomar, New inequalities of Hermite-Hadamard type for generalized convex functions with applications, Facta Univ. Ser. Math. Inform. (2016), in press.
- H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Science Publishers, Amsterdam, London and New York, 2012.
- M. Tomar, Erhan Set, and M. Z. Sarikaya, Some inequalities of generalized Hermite-Hadamard type for functions whose second derivatives in absolute value are generalized convex, Researchgate, DOI: 10.13140/RG.2.1.3849.7763.
- X. J. Yang, Local Fractional Functional Analysis & Its Applications, Asian Academic publisher Limited, Hong Kong, 2011.
- X. J. Yang, Advanced Local Fractional Calculus and Its Applications, World Science Publisher, New York, 2012.
- X. J. Yang, Local fractional integral equations and their applications, Adv. Comput. Sci. Appl. 1(4) (2012).
- X. J. Yang, Generalized local fractional Taylor's formula with local fractional derivative, J. Expert Sys. 1 (2012), no. 1, 26-30.
- X. J. Yang, Local fractional Fourier analysis, Adv. Mech. Engrg. Appl. 1 (2012), no. 1, 12-16.
- J. Yang, D. Baleanu, and X. J. Yang, Analysis of fractal wave equations by local fractional Fourier series method, Adv. Math. Phys. 2013 (2013), Article ID 632309, 6 pp.