iosr-Jm   Volume-22 ~ Issue-5 ~ Sep. – Oct. 2026

Abstract : In this paper we study theory of absolutely p-summing and Hilbert-Schmidt multilinear operators for Hilbert spaces. We present some new characterization of this operators by using classical results of Banach space theory and established new connection with tensor products. We also improve some previous results about multilinear settings.....

key Word: Absolutely p-summing operator, Hilbert-Schmidt operator, tensor product.

[1]. J. Diestel, H. Jarchow and A. Tonge; Absolutely summing operators, Combridge University press, Combridge 1995.
[2]. M. C Matos; On a question of Pietsch about Hilbert-Schmidt multilinear mappings, J. Math. Anal. Appl. 257 (2001), 243-355.
[3]. M. C Matos; Fully absolutely summing and Hilbert-Schmidt multilinear mappings, Collect. Math. 54 (2003), 111-136.
[4]. F. Bombal, D. Prez-Garcia, I. Villanueva; Multilinear extensions of Grothendieck’s theorem, Q. J. Math. 55 (2004), 441-450.
[5]. H. Junck, M. Matos and D. Pellegrino; Inclusion theorem for absolutely summing holomorphic mappings, Proc. Amer. Math. Soc. 136 (2008), 3983-3991..

Abstract : Transient heat and mass transport play important roles in petroleum processing and enhanced oil recovery, particularly during thermal stimulation, heating, species migration, and other time-dependent operating conditions. This study develops an analytical model for coupled transient heat and mass diffusion in a viscous fluid adjacent to a vertical surface subject to exponentially varying thermal and concentration conditions. Appropriate nondimensional.....

key Word: Transient, Heat and Mass Diffusion, HPM, Exponential Boundary Condition, Nusselt number, Sherwood number, Crude-Oil treatment, Thermal recovery

[1]. Kostyk, K., Hatala, M., Kostyk, V., Ivanov, V., Pavlenko, I., & Duplakova, D. (2021). Simulation of diffusion processes in chemical and thermal processing of machine parts. Processes, 9(4), 698. https://doi.org/10.3390/pr9040698
[2]. Libeer, W., Ramos, F., Newton, C., Alipanahrostami, M., Depcik, C., & Li, X. (2016). Two-phase heat and mass transfer of phase change materials in thermal management systems. International Journal of Heat and Mass Transfer, 100, 215–223. https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.076.
[3]. Amadi, C. P., Amos, E., & Davies I. (2026). Analysis of Coupled Thermal and Concentration Gradients in Nanofluid Boundary-Layer Flow over a Stretching Surface. International Journal of Applied Mathematics, 12(1), 55-64. https://doi.org/10.11648/j.ijamtp.20261201.16.
[4]. Amadi, C. P., Amos, E., & Davies, I. (2026). Analytical study of convective heat and mass transfer in MHD nanofluid flow over a stretching sheet with thermal and concentration effects. Asian Journal of Pure and Applied Mathematics, 8(1), 191–205. https://doi.org/10.56557/ajpam/2026/v8i1262..

Abstract : In commemoration of Indian knowledge system and cultural heritage of Vedic period, we can’t forget the high significant as well as technical balance in social, economical and political activities of human life. Vedic Maths originated from the Vedas to the ancient system and it was rediscovered by Sri Bharti Krishna Tirthaji. It is basically a tuning on 16 Sutras or word formula. The formulae describe the way the mind works naturally creating great help in encouraging the students to find appropriate solution to the rising problems in a society or real life. Of course, It makes math easier, fast, enjoyable leading to innovative ideas......

key Word: Indian knowledge system, Vedas, innovative ideas

[1]. Tirthaji B.K. (1965) Vedic Mathematics, Motilal Banarsidass
[2]. Bidder G.P. (1856) On Mental Calculation. Minutes of Proceedings, Institution of Civil Engineers (1855-56), 15, 251-280
[3]. Scripture E.W. (1891) American Journal of Psychology. Vol. IV 1-59
[4]. Mitchell F.D. (1907) American Journal of Psychology. Vol. XVIII 61-143
[5]. Aitken A.C. (1954) The Art of Mental Calculation: With Demonstrations. Transactions of the Society of Engineers. 45, 295-309

Abstract : The endemic nature of Lassa fever, the recurrent outbreaks and the high case fatality rates make it a big public health problem that is yet to be effectively tackled in Nigeria, and the limitations of available modelling approaches for forecasting survival further complicates the situation. This study aimed to determine clinical, temporal, and demographic predictors (such as age, time to ribavirin administration, or season of admission) associated with Lassa.....

key Word: Lassa Fever, Bayesian Survival Analysis, Survival modelling, Covariate, Kaplan-Meier

[1]. Akpede G.O., Lawal W. Part nine: Chapter 61. Viral Haemorrhagic fevers (VHF) with particular focus on Lassa and Ebola. In: Azubuike J.C., Nkanginieme K.E.O., editors. Paediatrics and Child Health in a Tropical Region. 3rd ed. Educational Printing and Publishing; Lagos, Nigeria: 2016. pp. 625–656. [Google Scholar][Ref list]
[2]. Bartoš, F., Aust, F., & Haaf, J. M. (2022). Informed Bayesian survival analysis. BMC medical research methodology, 22(1), 238. https://doi.org/10.1186/s12874-022-01676-9
[3]. Bhattacharya, S. K., & Tyagi, R. K. (1990). Bayesian survival analysis based on the Rayleigh model. Trabajos de Estadística, 5(1), 81–92. https://doi.org/10.1007/BF02863540 [https://doi.org/10.1007/BF02863540] [1, 2, 3]
[4]. Brard, C., Le Teuff, G., Le Deley, M. C., & Hampson, L. V. (2017). Bayesian survival analysis in clinical trials: What methods are used in practice? Clinical Trials, 14(1), 78-87.
[5]. Calle, M. L., Hough, G., Curia, A., & Gómez, G. (2006). Bayesian survival analysis modeling applied to sensory shelf life of foods. Food Quality and Preference, 17(1-2), 110-117. doi.org

Abstract : Background: This document investigates the partially linear single-index semiparametric model, a statistical structure that incorporates both linear and nonparametric elements, allowing for the examination of both linear and nonlinear connections between explanatory variables and a response variable.
Materials and Methods The research outlines the theoretical basis of the model and approaches for estimating its parts, with an......

key Word: Partial Linear Single-lndex Model , spline-based estimation, robust local linear estimation, Huber function, nonparametric estimation

[1]. Ahkim, M., Gijbels, I., & Verhasselt, A. (2017). Shape testing in varying coefficient models. Test, 26(2), 429-450.
[2]. Chen, L. P., Wu, J. C., & Yi, G. Y. (2026). Semiparametric estimation for error-prone partially linear single-index models. Journal of Computational and Graphical Statistics, 35(2), 669-684.
[3]. Cui, S., Guo, X., & Zhang, Z. (2025). Estimation and inference in ultrahigh-dimensional partially linear single-index models. Science China Mathematics, 68(8), 1807-1840.
[4]. Do, H., Wang, Y., Liu, M., & Lee, M. (2025). Neural Network-based Partial-Linear Single-Index Models for Environmental Mixtures Analysis. arXiv preprint arXiv:2512.11593.
[5]. Fitriyah, A. T., Chamidah, N., & Saifudin, T. (2025). Prediction of paddy production in Indonesia using semiparametric time series regression least square spline estimator. Data and Metadata, 4, 527-527