Browsing Research articles (Dept of Mathematics) by Issue Date
Now showing items 2136 of 36

Tensor Integral: A new comprehensive approach to the integration theory
(SCIENCEDOMAIN International, www.sciencedomain.org, 20140915)We use tensor product to introduce a new approach to the theory of integration. Such an approach will strengthen the existing various classical concepts of integral and will provide a continuous thread tying the subject ... 
A concise approach to real analysis
(Lulu, www.lulu.com, 20141007) 
Some relations between admissible monomials for the polynomial algebra
(Hindawi Publishing Corporation, www.Hindawi.com, 2015)Let P(𝑛) = F2[𝑥1, . . . , 𝑥𝑛] be the polynomial algebra in 𝑛 variables 𝑥𝑖, of degree one, over the field F2 of two elements. The mod2 Steenrod algebra A acts on P(𝑛) according to well known rules. A major problem ... 
On nonmetric covering lemmas and extended Lebesguedifferentiation theorem
(Science Domain International;http://www.sciencedomain.org, 20150328)We give a nonmetric version of the Besicovitch Covering Lemma and an extension of the LebesgueDifferentiation Theorem into the setting of the integration theory of vector valued functions. 
On natural characterizations of tensor integrability
(Science Domain International, http://www.sciencedomain.org/, 20150504)We revisit the deﬁnition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ... 
On the Riesz representation theorem and integral operators
(NISC (Pty) Ltd, http://www.nisc.co.za/, 20151214)We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ... 
Hydromagnetic free convective radiating flow of chemically reacting fluid through porous medium over a vertical surface in the presence of heat absorption
(Associated Asia Research Foundation (AARF), http://aarf.asia/irjmeit.php, 2016)This paper discusses the analysis of first order homogeneous chemical reaction and heat source on MHD flow with heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Newtonian ... 
Chemical reaction and Hall effects on viscoelastic fluid flow past an inclined moving plate in the presence of heat generation/absorption
(ESRSA Publications Pvt. Ltd., https://www.ijert.org/, 2016)The present work analyzes the Hall and Chemical reaction effects on two dimensional MHD flow of a Viscoelastic fluid past an inclined moving plate by taking double diffusive convection in the presence of Heat generation. ... 
Diffusion thermo effects on MHD convective flow past a semiinfinite vertical moving plate embedded in a porous medium in the presence of chemical reaction, radiation and heat source
(Scholarlink Research Institute, http://jeteas.scholarlinkresearch.com/, 2016)The study of MHD flow in a porous medium is receiving worldwide attention because of its numerous applications in cooling of electronic systems, chemical catalytic reactors and thermal insulating engineering etc. The ... 
On the subspace problem for Quasinormed spaces
(ScienceDomain International; www.sciencedomain.org, 20160702)A definitive positive answer to the socalled proper subspace problem (a.k.a. the atomic space problem) for quasinormed spaces is given: every infinite dimensional quasinormed space has a proper closed infinitedimensional ... 
Extensions of the Lusin's Theorem, the SeveriniEgorov's Theorem and the Riesz Subsequence Theorems
(ScienceDomain International; www.sciencedomain.org, 20161014)We give extensions of the Lusin’s Theorem, the SeveriniEgorov’s Theorem, and the Riesz Subsequence Theorems to the setting of a nonadditive vector valued set functions and sequences of functions taking values in general ... 
On cartesian nets and fubinitonelli type theorem
(International Journal of Applied Physics and Mathematics, http://www.ijapm.org/, 201704)The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions ... 
On size function topology and fixed point theorems
(International Scientific Publications and Consulting Services, http://www.ispacs.com/about.php, 201706)In this paper, we introduce and study a metriclike (nonnecessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general ... 
Unconditional integrability with application to ergodic theorem
(ScienceDomain International, http://www.sciencedomain.org/, 20170807)We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued ... 
Fundamental Theorem of Calculus in Topological Vector Spaces
(Journal of Mathematics Extension, 201710)We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the LebesgueNikodym Theorem and the Fundamental Theorem of Calculus ... 
A unified approach to integration theory
(International Journal of Applied Physics and Mathematics, www.ijapm.org/, 201901)We investigate the common features and the resemblance of the central parts of the different existing integration theories to obtain a more unified approach to the notion of integral. Our approach gives a presentation of ...