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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.
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참고문헌 (46)
참고문헌 신청
G. Alirezaei / 2018 / On exponentially concave functions and their impact in information theory / J. inform. Theory. Appl 9(5):265~274
M. U. Awan / 2018 / Hermite-Hadamard inequalities for exponentially convex functions / Appl. Math. Inf. Sci 12(2):405~409
M. U. Awan / 2017 / Some new bounds for Simpson's rule involving special functions via harmonic h-convexity / J. Nonlinear Sci. Appl. 10(4):1755~1766
A. G. Azpeitia / 1994 / Convex functions and the Hadamard inequality / Rev. Colombiana Mat. 28(1):7~12
S. N. Bernstein / 1929 / Sur les fonctions absolument monotones / Acta Math 52:1~66
M. U. Awan / 2018 / Hermite-Hadamard inequalities for exponentially convex functions / Appl. Math. Inf. Sci 12(2):405~409
M. U. Awan / 2017 / Some new bounds for Simpson's rule involving special functions via harmonic h-convexity / J. Nonlinear Sci. Appl. 10(4):1755~1766
A. G. Azpeitia / 1994 / Convex functions and the Hadamard inequality / Rev. Colombiana Mat. 28(1):7~12
S. N. Bernstein / 1929 / Sur les fonctions absolument monotones / Acta Math 52:1~66
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