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In this paper we have established inequalities for a unified integral operator by using convexity of composition of two functions. The obtained results are directly connected to bounds of various fractional and conformable integral operators which are already known in literature. A generalized Hadamard integral inequality is obtained which further leads to its various versions for associated fractional integrals. Further, some implicated results are discussed.
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참고문헌 (30)
참고문헌 신청
M. Andric / 2018 / A further extension of Mittag-Leffler function Fract / Calc. Appl. Anal 21(5):1377~1395
H. Chen / 2017 / Hermite-Hadamard and Hermite-Hadamard-Fejer type in-equalities for generalized fractional integrals / J. Math. Anal. Appl 446:1274~1291
C. Cesarano / 2019 / Generalized special functions in the description of fractional diffusive equations / CAIM 10:31~40
S. S. Dragomir / 2018 / Inequalities of Jensens type for generalized k-g-fractional integrals of functions for which the composite f ◦ g −1is convex Fract / Differ. Calc 8(1):127~150
R. Dubey / 2019 / Multi objective fractional symmetric duality in math-ematical programming with (CGf )-invexity assumptions / AXIOMS 8:1~11
H. Chen / 2017 / Hermite-Hadamard and Hermite-Hadamard-Fejer type in-equalities for generalized fractional integrals / J. Math. Anal. Appl 446:1274~1291
C. Cesarano / 2019 / Generalized special functions in the description of fractional diffusive equations / CAIM 10:31~40
S. S. Dragomir / 2018 / Inequalities of Jensens type for generalized k-g-fractional integrals of functions for which the composite f ◦ g −1is convex Fract / Differ. Calc 8(1):127~150
R. Dubey / 2019 / Multi objective fractional symmetric duality in math-ematical programming with (CGf )-invexity assumptions / AXIOMS 8:1~11
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