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On Ostrowski type inequalities

Agarwal R. P., Luo M.-J., Raina R. K.

Fasciculi Mathematici

2016

Nr 56

5--27

In this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators. We further obtain similar types of inequalities for the integral operators whose kernels are the Fox-Wright generalized hypergeometric function. Several consequences and special cases of some of the results including applications to Stolarsky's means are also pointed out.

On Hermite-Hadamard type inequalities for s-convex mappings via fractional integrals of a function with respect to another function

Budak H., Sarikaya M. Z.

Fasciculi Mathematici

2016

Nr 57

25--36

In this paper, we obtain some Hermite-Hadamard type inequalities for s-convex function via fractional integrals with respect to another function which generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. The results presented here provide extensions of those given in earlier works.

More on Ostrowski type inequalities for some s-convex functions in the second sense

Liu Z.

Demonstratio Mathematica

2016

Vol. 49, nr 4

398--412

Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.

Some Ostrowski’s type inequalities for functions whose second derivatives are s-convex in the second sense

Set E., Sarikaya M. Z., Ozdemir M. E.

Demonstratio Mathematica

2014

Vol. 47, nr 1

37--47

Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.

On some new inequalities of Hermite-Hadamard-Fejer type involving convex functions

Tseng K., Hwang S., Dragomir S.

Demonstratio Mathematica

2007

Vol. 40, nr 1

51-64

In this paper, we establish some inequalities of Hermite-Hadamard-Fejér type for m-convex functions and s-convex functions.