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More on certain Opial-type inequality for fractional derivatives and exponentially convex functions (CROSBI ID 207778)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Andrić, Maja ; Barbir, Ana ; Farid, Ghulam ; Pečarić, Josip More on certain Opial-type inequality for fractional derivatives and exponentially convex functions // Nonlinear functional analysis and applications, 19 (2014), 4; 563-583

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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Podaci o izdanju

19 (4)

2014.

563-583

objavljeno

1229-1595

Povezanost rada

Matematika