NEW INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS OF THE SECOND SENSE VIA THE CAPUTO FRACTIONAL DERIVATIVE AND THE CAPUTO–FABRIZIO INTEGRAL OPERATOR

Author:

Kemali Serap,Tinaztepe Gültekin,Yeşilce Işik İlknur,Sezer Evcan Sinem

Publisher

Rocky Mountain Mathematics Consortium

Subject

General Mathematics

Reference36 articles.

1. [1] M. Alomari and M. Darus, “Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities”, Int. J. Contemp. Math. Sci. 3:29–32 (2008), 1557–1567.

2. [2] D. Bertsimas and I. Popescu, “Optimal inequalities in probability theory: a convex optimization approach”, preprint, 1998, available at http://hdl.handle.net/1721.1/2718.

3. [3] M. Bohner, A. Kashuri, P. O. Mohammed, and J. E. Nápoles Valdés, “Hermite–Hadamard-type inequalities for conformable integrals”, Hacet. J. Math. Stat. 51:3 (2022), 775–786.

4. [4] W. W. Breckner, “Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen”, Publ. Inst. Math. (Beograd) (N.S.) 23:37 (1978), 13–20.

5. [5] M. Caputo, “Linear model of dissipation whose Q is almost frequency independent”, Geophysical J. Int. 13:5 (1967), 529–539.

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