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Properties of Pečarić-Type Functions and Applications

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Abstract

In this paper we present some relevant properties of Pečarić-type functions and of Mercer-type functions. We discuss both the real case (for convex functions) and the vector case (for delta-convex functions). As a result, we obtain an extension of the Hermite–Hadamard inequality. We also highlight some Schur-convexity properties. A series of recent results in the area are framed in a new vision and extended. In this way, more known proofs are simplified. Appropriate applications complete our study.

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Correspondence to Eugen Păltănea.

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Marinescu, D.Ş., Păltănea, E. Properties of Pečarić-Type Functions and Applications. Results Math 76, 149 (2021). https://doi.org/10.1007/s00025-021-01460-z

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