Some Hermite–Hadamard type integral inequalities for multidimensional general preinvex stochastic processes

Okur, Nurgül; Aliyev, Rovshan

doi:10.1080/03610926.2019.1696976

Cited by 6 publications

(2 citation statements)

References 19 publications

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“…These methods can be mainly divided into analytical methods and simulation methods. The simulation method mainly uses the Monte Carlo method [3] to study network reliability issues, mainly estimating the probability of a random event through the frequency of its occurrence. This method can only obtain an approximate value of network reliability in most cases, and requires a high accuracy in sample selection.…”

Section: Current Status Of Network Reliability Researchmentioning

confidence: 99%

Summary of Research on Reliability Evaluation Methods for Distribution Networks

Wu¹

2023

AJST

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Existing research has shown that highly reliable network systems can not only significantly reduce their own operation and maintenance costs, but also greatly improve service efficiency. Quick and accurate qualitative analysis and quantitative evaluation of the reliability of distribution networks are essential for both correctly estimating the performance of actual networks and improving network design. This overview will summarize the existing research from four aspects: the current research status of network reliability, logistics network reliability, network reliability under cost constraints, and network reliability under transportation distance constraints, laying a foundation for research on reliability evaluation methods for distribution networks.

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Section: Current Status Of Network Reliability Researchmentioning

confidence: 99%

Summary of Research on Reliability Evaluation Methods for Distribution Networks

Wu¹

2023

AJST

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“…Based on importance of convexity, many researchers studied on this issue, for examples Kumar [14], Gavrea [15]. In this sense, researchers investigated many problems related convexity and inequality for stochastic processes [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Some generalised integral inequalities for bidimensional preinvex stochastic processes

Okur

2020

Cumhuriyet Science Journal

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In this study, we generalize some integral inequalities for bidimensional preinvex stochastic processes. The main results consist of two parts. In the first part, we obtain a generalization of H-H type integral inequality for bidimensional preinvex stochastic processes. In the second part, we derive a generalization of Ostrowski type integral inequality for bidimensional preinvex stochastic processes. For this reason, we use mean-square integrable preinvex stochastic processes and verify generalization of H-H type integral inequality and Ostrowski type integral inequality for preinvex stochastic processes on the real, respectively.

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