Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

In this paper, for 1 ≤ k ≤ 2 and a sequence γ:={γ(n)}n=1∞ that is quasi β-power monotone decreasing with β&gt;1−1k, we prove the |A, γ|k summability of an orthogonal series, where A is Riesz matrix. For β&gt;12, we give a necessary and sufficient condition for |A, γ|k summability, where A is Riesz matrix. Our result generalizes the result of Moricz (Acta Sci Math 23:92–95, 1962) for absolute Riesz summability of an orthogonal series. © 2018, Springer Nature Switzerland AG.

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Trends in Mathematics Advances in Algebra and Analysis

Generalized Absolute Riesz Summability of Orthogonal Series

Objective: The objective of Image Fusion is to combine the relevant and essential information from several images into a single image, which is highly informative than any of the source images such that the resultant fused image will be more appropriate for human visual perception and for image processing tasks like segmentation, feature extraction and object recognition. Methods: This paper presents the basic concepts, various types and levels of fusion, literature review of non-transform and transform based image fusion techniques from the perspective of their applications, advantages and limitations. Findings: The performance of existing image fusion methods along with various assessment metrics that determine the quality of fused images are evaluated and theoretically analyzed. It is found that the computational complexity is considerably reduced in Discrete Cosine Transformation based methods. Applications: Image Fusion has been effectively applied to many fields such as Remote Sensing, Military affairs, Machine Vision, Medical imaging, and so on.

Computer Science

School of Computer Science and Engineering

Chennai Campus

Fulltext

Indian Journal of Science and Technology

Analysis of Image Fusion Techniques based on Quality Assessment Metrics

In [3], we established a necessary and sufficient condition for absolute Hausdorff summability of a double orthogonal series. In this paper, we estimate the order of magnitude for Hausdorff summability of a double orthogonal series under appropriate conditions. © 2014, Akadémiai Kiadó, Budapest, Hungary.

World University root node

Analysis Mathematica

Order of magnitude for Hausdorff summability of double orthogonal series

A controlled SIWR model was considered which was an extension of the simple SIR model by adjoining a compartment (W) that tracks the pathogen concentration in the water. New infections arise both through exposure to contaminated water as well as by the classical SIR person-person transmission pathway. The controls represent an immune boosting and pathogen suppressing drugs. The objective function is based on a combination of minimizing the number of infected individuals and the cost of the drugs dose. The optimal control is obtained by solving the optimality system which was composed of four nonlinear ODEs with initial conditions and four nonlinear adjoint ODEs with transversality conditions. The results were analysed and interpreted numerically using MATLAB. Copyright © 2012 G. Devipriya and K. Kalaivani.