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. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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