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Some new estimates for exponentially $(\hbar,\mathfrak{m})$-convex functions via extended generalized fractional integral operators

Khalida Inayat Noor|Muhammad Aslam Noor|Saima Rashid
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.12|한국수학논문집 (Korean Journal of Mathematics)|제27권 제4호|pp. 843-860

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참고문헌

키워드

convex functionm)$-convex functionexponentially convex functionexponentially $(hgeneralized Mittag-Leffler functiongeneralized fractional integral operatorsHadamard-Fej'{e}r inequality.
주제분류수학

초록

In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fej\'{e}r type inequalities for the exponentially $(\hbar,\mathfrak{m})$-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.

Abstract

In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fej\'{e}r type inequalities for the exponentially $(\hbar,\mathfrak{m})$-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.

참고문헌 (46)

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