Monotonicity and convexity involving generalized elliptic integral of the first kind

Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu‐Ming

doi:10.1007/s13398-020-00992-3

Cited by 105 publications

(41 citation statements)

References 25 publications

(20 reference statements)

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“…The process of transferring the heat (Ghalandari et al, 2019;Zhao et al, 2021a, Zhao et al, 2021b between two fluids at different temperatures separated by a solid wall is common in many engineering applications (Che et al, 2021;Mahariq and Erciyas, 2017;Mahariq et al, 2020;Panahi and Zamzamian, 2017;Prabhanjan et al, 2002;Shafee et al, 2020;Zhao et al, 2021c). Heat exchangers are devices that allow heat to be transferred from one fluid to another without mixing the two fluids (Assad et al, 2021;Che et al, 2021;Chu et al, 2020;She and Fan, 2018;Zhou et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Performance Optimization of the Helical Heat Exchanger With Turbulator

et al. 2022

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In this paper, optimization on a two-tube helical heat exchanger with a fin is represented. The spiral pipes heat exchanger which is made of the cooper is adopted for investigation. The effects of three types of fins with the proposed geometric shapes on the overall heat transfer coefficient and pressure loss are investigated. The fins are located on the inner surface of the outer pipe. The obtained numerical results are compared with the experimental results, and a good agreement is observed between the results. The studies show that the total heat transfer coefficient has increased by 170% compared to an exchanger with no fin. Therefore, the best fin has been selected based on the benefit-cost-ratio (BCR) factor. Finally, using the new represented optimization algorithm, the height of the represented triangular fin is optimized to represent the best values for overall heat transfer coefficient and pressure loss of the helical heat exchanger. In addition, the results indicate that reducing the density and height of the triangular fin increases heat transfer and reduces pressure loss.

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Section: Introductionmentioning

confidence: 99%

Performance Optimization of the Helical Heat Exchanger With Turbulator

et al. 2022

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“…Several advanced machine learning techniques and mathematical formulations have been used to solve different engineering and planning problems [31][32][33][34][35][36][37][38][39][40]. To keep abreast with the advancement of machine learning techniques and their vast applications across the world, the authors utilize extreme gradient boosting trees (XGBT) to examine the main determinants of vehicle ownership and highlight their nonlinear interactions, employing data from the 2017 US National Household Travel Survey (NHTS).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Relationships between Vehicle Ownership and Household Travel Characteristics and Built Environment Attributes in the US Using the XGBT Algorithm

Aghaabbasi

Ali

et al. 2022

Sustainability

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In the United States, several studies have looked at the association between automobile ownership and sociodemographic factors and built environment qualities, but few have looked at household travel characteristics. Their interactions and nonlinear linkages are frequently overlooked in existing studies. Utilizing the 2017 US National Household Travel Survey, the authors employed an extreme gradient boosting tree model to evaluate the nonlinear and interaction impacts of household travel characteristics and built environment factors on vehicle ownership in three states of the United States (California, Missouri, and Kansas) that are different in population size. To develop these models, three main XGBT parameters, including the number of trees, maximal depth, and minimum rows, were optimized using a grid search technique. In California, the predictability of vehicle ownership was driven by household travel characteristics (cumulative importance: 0.62). Predictions for vehicle ownership in Missouri and Kansas were dominantly influenced by sociodemographic factors (cumulative importance: 0.53 and 0.55, respectively). In all states, the authors found that the number of drivers in a household plays a vital role in the vehicle ownership decisions of households. Regarding the built environment attributes, deficiencies in cycling infrastructure were the most prominent attribute in predicting household vehicle ownership in California. This variable, however, has threshold connections with vehicle ownership, but the magnitude of these relationships is small. The outcomes imply that improving the condition of cycling infrastructure will help reduce the number of vehicles. In addition, incentives that encourage the households’ drivers not to buy new vehicles are helpful. The outcomes of this study might aid policymakers in developing policies that encourage sustainable vehicle ownership in the United States.

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“…Many inequalities have been extensively analyzed and reported in research fields as a result of convexity and its generalizations in engineering and sciences [12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Among them, a highly worked inequality is Hermite-Hadamard inequality is defined as…”

Section: Introductionmentioning

confidence: 99%

Generalized Hermite–Hadamard-Type Integral Inequalities for $h$ -Godunova–Levin Functions

Ali

Mubeen

Ali

et al. 2022

Journal of Function Spaces

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The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for h -Godunova–Levin convexity and h -Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as kernel. Moreover, Hermite–Hadamard-type and trapezoid-type inequalities for several known convexities including Godunova–Levin function, classical convex, s -Godunova–Levin function, P -function, and s -convex function are deduced as corollaries. These obtained results are analyzed in the form of generalization of fractional inequalities.

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Monotonicity and convexity involving generalized elliptic integral of the first kind

Cited by 105 publications

References 25 publications

Performance Optimization of the Helical Heat Exchanger With Turbulator

Performance Optimization of the Helical Heat Exchanger With Turbulator

Nonlinear Relationships between Vehicle Ownership and Household Travel Characteristics and Built Environment Attributes in the US Using the XGBT Algorithm

Generalized Hermite–Hadamard-Type Integral Inequalities for $h$ -Godunova–Levin Functions

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Monotonicity and convexity involving generalized elliptic integral of the first kind

Cited by 105 publications

References 25 publications

Performance Optimization of the Helical Heat Exchanger With Turbulator

Performance Optimization of the Helical Heat Exchanger With Turbulator

Nonlinear Relationships between Vehicle Ownership and Household Travel Characteristics and Built Environment Attributes in the US Using the XGBT Algorithm

Generalized Hermite–Hadamard-Type Integral Inequalities forh-Godunova–Levin Functions

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Generalized Hermite–Hadamard-Type Integral Inequalities for $h$ -Godunova–Levin Functions