New Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions
2019; Springer Nature; Volume: 9; Issue: 2 Linguagem: Inglês
10.1007/s40065-019-0255-7
ISSN2193-5343
AutoresZeynep Şanlı, Mehmet Kunt, Tuncay Köroğlu,
Tópico(s)Mathematical functions and polynomials
ResumoAbstract In this paper, we proved two new Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions using the left and right fractional integrals independently. Also, we have two new Riemann–Liouville fractional trapezoidal type identities for differentiable functions. Using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalize the results given by İşcan (Hacet J Math Stat 46(6):935–942, 2014).
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