More on certain Opial-type inequality for fractional derivatives and exponentially convex functions (CROSBI ID 207778)
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Podaci o odgovornosti
Andrić, Maja ; Barbir, Ana ; Farid, Ghulam ; Pečarić, Josip
engleski
More on certain Opial-type inequality for fractional derivatives and exponentially convex functions
In this paper we consider a certain class of convex functions in Opial-type integral inequalities. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequalities. A method of producing n- exponentially convex and exponentially convex functions is applied. Also, some new Opial-type equalities are given involving fractional integrals and fractional derivatives.
Opial-type inequality ; fractional integral ; fractional derivative
This work has been supported in part by Croatian Science Foundation under the project 5435.
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