On inequalities of Hermite-Hadamard type for stochastic processes whose third derivative absolute values are quasi-convex

Materano, Jesus Enrique; Merentes, Nelson; Lopez-Valera, Maira

doi:10.5556/j.tkjm.48.2017.2359

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…Sarikaya et al [13] studied on some types of stochastic processes and obtained new inequalities for related processes. Materano et al [14] presented some estimates for quasi-convex stochastic processes. Barraaez et al [15] also studied on h-convex stochastic processes.…”

Section: Nurg üL Okur and Vildan Karahanmentioning

confidence: 99%

Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates

Okur¹,

Karahan²

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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In this study, we identi…ed s-convexity of …rst and second sense for multidimensional stochastic processes. Concordantly, we veri…ed Hermite-Hadamard type inequalities for these processes. Besides, we exempli…ed these results on two and three-dimensional stochastic processes. Ultimately, we compared our results with multidimensional harmonically convex stochastic processes in the literature. It must be known that the inequalities in our study are especially necessary to compare the maximum and minimum values of s-convex of …rst and second sense for multidimensional stochastic process with the expected value of stochastic processes. It is used mean-square integrability for the speciality of stochastic processes to obtain these inequalities in this study.

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Section: Nurg üL Okur and Vildan Karahanmentioning

confidence: 99%

Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates

Okur¹,

Karahan²

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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“…Also, a new Hermite-Hadamard type inequality for harmonically m-convex set-valued functions is developed. The results obtained in this investigation are being studied for stochastic processes, having as reference the following works [3,6,7,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Harmonically $m$-convex set-valued function

Santana¹,

Valera-López²

2022

Preprint

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On inequalities of Hermite-Hadamard type for stochastic processes whose third derivative absolute values are quasi-convex

Abstract: Abstract. In this paper we give some estimates of the right-hand side inequality of HermiteHadamad type for stochastic processes whose third derivatives in absolute values are quasi-convex.

Cited by 2 publications

References 8 publications

Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates

Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates

Harmonically $m$-convex set-valued function

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