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Stability of an additive-cubic-quartic functional equation.

Eshaghi-Gordji, M., Kaboli-Gharetapeh, S., Park, Choonkil, Zolfaghari, Somayyeh (2009)

Advances in Difference Equations [electronic only]

Stability of generalized additive Cauchy equations.

Jung, Soon-Mo, Lee, Ki-Suk (2000)

International Journal of Mathematics and Mathematical Sciences

Studie o funkcinálních rovnicích

Jan Vilém Pexider (1900)

Časopis pro pěstování mathematiky a fysiky

Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities

J. Matkowski, T. Świątkowski (1993)

Fundamenta Mathematicae

Let ϕ be an arbitrary bijection of $ℝ_{+}$ . We prove that if the two-place function $ϕ^{- 1} [ϕ (s) + ϕ (t)]$ is subadditive in $ℝ_{+}^{2}$ then $ϕ$ must be a convex homeomorphism of $ℝ_{+}$ . This is a partial converse of Mulholland’s inequality. Some new properties of subadditive bijections of $ℝ_{+}$ are also given. We apply the above results to obtain several converses of Minkowski’s inequality.

Sugeno's negations and T-norms.

Gaspar Mayor Forteza (1994)

Mathware and Soft Computing

A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.