Certain mean-type fractional integral inequalities via different convexities with applications

Autor: Muhammad Samraiz, Fakhra Nawaz, Sajid Iqbal, Thabet Abdeljawad, Gauhar Rahman, Kottakkaran Sooppy Nisar
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-19 (2020)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-020-02474-x
Popis: Abstract In this paper, we establish certain generalized fractional integral inequalities of mean and trapezoid type for ( s + 1 ) $(s+1)$ -convex functions involving the ( k , s ) $(k,s)$ -Riemann–Liouville integrals. Moreover, we develop such integral inequalities for h-convex functions involving the k-conformable fractional integrals. The legitimacy of the derived results is demonstrated by plotting graphs. As applications of the derived inequalities, we obtain the classical Hermite–Hadamard and trapezoid inequalities.
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