Alfred WITKOWSKI

Remarks on the paper ``On some new inequalities for convex functions\\" by M. Tunç

In this note, we slightly generalize Theorem 2 in the paper by M. Tunç and point out that the assumption of Theorem 3 is not sufficient. A misuse of the term 'mean' is also discussed.

Anahtar Kelimeler:

Convex function, mean

Remarks on the paper ``On some new inequalities for convex functions\\" by M. Tunç

In this note, we slightly generalize Theorem 2 in the paper by M. Tunç and point out that the assumption of Theorem 3 is not sufficient. A misuse of the term 'mean' is also discussed.

Keywords:

Convex function, mean,

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Dragomir, S.S., Agarwal, P.: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (5) 91–95, (1998).
Kirmaci, U.S.: Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comput. 147 137–146, (2004).
Tun¸ c, M.: On some new inequalities for convex functions, Turk. J. Math. 36 245–251, (2012).