Potential inequality was introduced in [4] and later extended to the case of general convex and concave functions in [1]. The main goal of this paper is to derive the potential inequality for the case where the function at which the potential is evaluated is replaced by its absolute value. The results obtained, together with methods from [2], are used to construct new families of exponentially convex functions.
机构:
Chongqing Normal Univ, Natl Ctr Appl Math Chongqing, Chongqing 401331, Peoples R China
Federat Univ Australia, Inst Innovat Sci & Sustainabil, Ctr Smart Analyt, Ballarat, Vic 3353, AustraliaChongqing Normal Univ, Natl Ctr Appl Math Chongqing, Chongqing 401331, Peoples R China
Yuan, Yongjia
Bai, Fusheng
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机构:
Chongqing Normal Univ, Natl Ctr Appl Math Chongqing, Chongqing 401331, Peoples R ChinaChongqing Normal Univ, Natl Ctr Appl Math Chongqing, Chongqing 401331, Peoples R China
机构:
CEA, Commis Energie Atom, Ctr Saclay, DEN DM2S SFME, F-91191 Gif Sur Yvette, France
Ecole Cent Paris, Lab Phys Appl Syst, F-92295 Chatenay Malabry, FranceCEA, Commis Energie Atom, Ctr Saclay, DEN DM2S SFME, F-91191 Gif Sur Yvette, France