Some remarks ons-convex functions |
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| Authors: | H Hudzik L Maligranda |
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| Institution: | (1) Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, PL-60-769 Poznan, Poland;(2) Department of Mathematics, Luleå University, S-951 87 Luleå, Sweden |
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| Abstract: | Summary Two kinds ofs-convexity (0 <s  1) are discussed. It is proved among others thats-convexity in the second sense is essentially stronger than thes-convexity in the first, original, sense whenever 0 <s < 1. Some properties ofs-convex functions in both senses are considered and various examples and counterexamples are given. |
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| Keywords: | 26A51 |
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