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Study of young inequalities for matrices
Mohammad Al-Hawari,Wafaa Gharaibeh 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.6
This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.
NEW INEQUALITIES CONNECTED WITH TRACES OF MATRICES
AL-HAWARI, MOHAMMAD,NASSER, AZHAR BANI,HATAMLEH, RAED The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
This paper covers some important operator inequalities connected with traces of matrices, from the classical inequalities we obtained new inequalities connected with traces of matrices which are better than the others.
Behzad Heibati,Susana Rodriguez-Couto,Abdeltif Amrane,Mohd. Rafatullah,Alaa Hawari,Mohammad A. Al-Ghouti 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.5
The potential of using pumice and walnut wood activated carbon as low-cost adsorbents for the removal of the diazo dye Reactive Black 5 (RB5) from aqueous solutions was investigated. The Langmuir isotherm fit to the data specified the presence of two different natures of adsorption sites with different binding energies on the AC-W surface. Kinetic modelling showed that the adsorption behaviour and mechanism of RB5 for both adsorbents is believed to happen via surface adsorption followed by diffusion into the pores of the AC-W and pumice. The main adsorption mechanisms are hydrogen bonding, electrostatic bonding and n–π interactions.
Majeda Khraisheh,김종규,Luiza Campos,Ala’a H. Al-Muhtaseb,Alaa Al-Hawari,Mohammad Al Ghouti,Gavin M. Walker 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.3
Photocatlytic removal of three pharmaceutical and personal care products pollutants using novel TiO2–Coconut Shell Powder (TCNSP) composite was investigated. The photocatalytic degradation rate of PPCPsgenerally increased with increasing light intensity and dissolved oxygen concentration. The degradationrate decreased with increasing initial concentration of PPCPs. The PPCPs concentration decreasedsubstantially under irradiation of UVC when used in conjunction with the TCNSP composite. A number ofcomposite/radiation types and intensities were tested. The concentration rate decrease trend was as:UVC/TCNSP > UVA/TCNSP > UVC > UVA. Under the UVC/TCNP combination, 99% removal was achievedcompared to 30% for TiO2.