Hermite-Hadamard type inequalities for h-preinvex mappings via fractional integrals

• Autorzy: Matloka M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we first establish the Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals for the h-preinvex function. Then, some Hermite-Hadamard type integraf inequalities for the fractional integrals are obtained.

Słowa kluczowe

EN

Riemann-Liouville integral; Hermite-Hadamard type inequalities; h-preinvex function

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2015
• Tom: Vol. 44, no. 2
• Strony: 275--285
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Matloka M.

• Department of Applied Mathematics, Poznan´ University of Economics Al. Niepodlegl o´sci 10, 61-875 Poznan, Poland

Bibliografia

• 1. BRECKNER, W. W. (1978) Stetigkeitsanssagen fu¨r eine Klasse verallgemeinester Konvexer Funktionen in topologischen linearen R¨aumen. Publ. Inst. Math. (Belgr.) 23, 13-20.
• 2. DRAGOMIR S. S., FITZPATRICK, S. (1999) The Hadamard’s inequality for s-convex functions in the second sense. Demonstr. Math. 32 (4), 687-696.
• 3. MATL OKA, M. (2013) On some Hadamard–type inequalities for (h1,h2)preinvex functions on the co ordinates. J. Inequal. Appl. doi: 10.1186/ 1029-242X-2013-227.
• 4. MOHAN, S. R., NEOGY, S. K. (1995) On invex sets and preinvex functions. J. Math. Anal. Appl. 189, 901-908.
• 5. NOOR, M.S. (2009) Hadamard integral inequalities for product of two preinvex functions. Nonlinear Anal. Forum 14, 167-173.
• 6. SARIKAYA, M. Z., SAGLAM, A., YILDIRIM, H. (2008) On some Hadamard – type inequalities for h convex functions. J. Math. Inequal. 2, 335-341.
• 7. SARIKAYA, M. Z., SET, E., YALDIZ, H., BASAK, N. (2013) Hermite Hadamard’s inequalities for fractional integrals and related fractional inequalities. Math Comput. Model 57, 2403-2407.
• 8. WEIR, T., MOND, B. (1988) Preinvex functions in multiobjective optimization. J. Math. Anal. Appl. 136, 29-38.
• 9. VAROSANEC, S. (2007) On h-convexity. J. Math. Anal. Appl. 326, 303-311.