2020
DOI: 10.1155/2020/4606439
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Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p -Convex Function

Abstract: In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are more generalized than existing results… Show more

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Cited by 4 publications
(3 citation statements)
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“…Yanrong An et al [25] took a step forward by introducing the class of (h 1 , h 2 )-convex I-V-Fs and establishing interval-valued Hermite-Hadamard type inequality for (h 1 , h 2 )convex I-V-Fs. We suggest that readers consult [26][27][28] and the references therein for more examination of the literature on the applications and properties of generalized convex functions and HH type integral inequalities.…”
Section: Introductionmentioning
confidence: 99%
“…Yanrong An et al [25] took a step forward by introducing the class of (h 1 , h 2 )-convex I-V-Fs and establishing interval-valued Hermite-Hadamard type inequality for (h 1 , h 2 )convex I-V-Fs. We suggest that readers consult [26][27][28] and the references therein for more examination of the literature on the applications and properties of generalized convex functions and HH type integral inequalities.…”
Section: Introductionmentioning
confidence: 99%
“…Zhao et al used extended fractional integrals to prove the H•H inequality for intervalvalued approximately h-convex functions in [25]. Kamran et al [26] developed the H•H inequality by means of the notion of interval-valued generalized p-convex functions. Khan et al introduced new classes of convex and generalized convex F-I-V-F, and derived fractional H•H type and H•H type inequalities for convex F-I-V-F [27], h-convex F-I-V-F [28], (h 1 , h 2 )-connvex F-I-V-F [29], (h 1 , h 2 )-preinvex F-I-V-F [30], log-h-convex F-I-V-Fs [31], logs-convex F-I-V-Fs in the second sense [32], and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…Later on, Costa et al [11] introduced generalized interval vector spaces and interval optimization. e convex functions in interval-valued calculus got attention of researchers due to its interesting geometric features and infimum properties [12][13][14][15]. is theory is also appealing for the applied engineers and programmes due to its applications in convex optimization [16][17][18].…”
Section: Introductionmentioning
confidence: 99%