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Information Journal Paper

Title

Jensen's inequalities for pseudo-integrals

Pages

  99-109

Keywords

(Q2
)-convex functionQ2

Abstract

 In this paper, we introduce a general ( ; )-convex function based on semirings ([a; b];  ; ) with pseudo-addition  and pseudo-multiplication : The generalization of the finite Jensen's inequality, as well as pseudo-integral with respect to ( ; )-convex functions, is obtained. This also generalizes Jensen's inequalities for Lebesgue integral and the results of Pap and  Strboja [12]. Meanwhile, we also prove Jensen's inequalities for pseudo-integrals on semirings ([a; b]; sup; ) with respect to nondecreasing functions and present corresponding results for generalized fuzzy integrals.

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    • Cite

    APA: Copy

    ZHANG, D., & Pap, E.. (2021). Jensen's inequalities for pseudo-integrals. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(3 ), 99-109. SID. https://sid.ir/paper/413561/en

    Vancouver: Copy

    ZHANG D., Pap E.. Jensen's inequalities for pseudo-integrals. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(3 ):99-109. Available from: https://sid.ir/paper/413561/en

    IEEE: Copy

    D. ZHANG, and E. Pap, “Jensen's inequalities for pseudo-integrals,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 3 , pp. 99–109, 2021, [Online]. Available: https://sid.ir/paper/413561/en

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