Archive:: American Journal of Applied Mathematics:: Science Publishing Group

Volume 10, Issue 2, April 2022

Boundedness of Littlewood-Paley Operators in Variable Morrey Spaces

Panwang Wang, Zongguang Liu

Issue: Volume 10, Issue 2, April 2022

Pages: 15-28

Received: 14 February 2022

Accepted: 7 March 2022

Published: 17 March 2022

DOI: 10.11648/j.ajam.20221002.11

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Abstract: In this paper, the authors prove norm inequalities for the intrinsic square functions and commutators generated by this class operator and BMO function in variable Morrey spaces. This implies that the same norm inequalities for the Lusin area integrals, the Littlewood-Paley operators and the continuous square functions. As application, we get the b... Show More

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On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface

Golbert Aloliga, Ibrahim Yakubu Seini, Rabiu Musah

Issue: Volume 10, Issue 2, April 2022

Pages: 29-42

Received: 14 March 2022

Accepted: 1 April 2022

Published: 9 April 2022

DOI: 10.11648/j.ajam.20221002.12

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Abstract: The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a ... Show More

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Connectedness Generalizations Using the Concept of Adherence Dominators

James Edward Joseph, Bhamini M. P. Nayar

Issue: Volume 10, Issue 2, April 2022

Pages: 43-50

Received: 6 March 2022

Accepted: 30 March 2022

Published: 23 April 2022

DOI: 10.11648/j.ajam.20221002.13

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Abstract: An adherence dominator on a topological space X is a function π from the collection of filterbases on X to the collection of closed subsets of X satisfying Ω ⊂ πΩ where Ω is the adherence of Ω and , where ∑F represents the collection of open sets containing F. The π-adherence may be adherence, θ-adherence, u-adherence s-adherence, f-adherence, δ-ad... Show More

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Locally H-closed Spaces, Subspaces and Their Extensions

James Edward Joseph, Bhamini M. P. Nayar

Issue: Volume 10, Issue 2, April 2022

Pages: 51-58

Received: 7 March 2022

Accepted: 11 April 2022

Published: 23 April 2022

DOI: 10.11648/j.ajam.20221002.14

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Abstract: The primary goal is to characterize Locally H-closed spaces (LHC), by conditions on the remainders of their extensions. These spaces are also characterized using subspaces and their extensions as well. Characterizing these classes of spaces using the remainders of the subspaces in their extensions provide characterizations of them in terms of their... Show More

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Interval Estimation of the Absolute Risk of an Event with Competing Risks Using Proportional Regression of Cause-Specific Hazards

Michael Richard Crager, Jerome Victor Braun

Issue: Volume 10, Issue 2, April 2022

Pages: 59-85

Received: 4 April 2022

Accepted: 19 April 2022

Published: 28 April 2022

DOI: 10.11648/j.ajam.20221002.15

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Abstract: It is often important to account for the effects of a competing risk when estimating the risk of a particular event of interest by estimating its absolute risk. Available methodology for interval estimation of the absolute risk using the proportional regression of cause-specific hazards (CSH) has been limited to situations with time-invariant covar... Show More

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