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Sumanjit Kaur,Seema Rani,Vipin Kumar,R.K. Mahajan,Mohammad Asif,Inderjeet Tyagi,Vinod Kumar Gupta 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.26 No.-
Mesoporous adsorbent is prepared first time using ferrocene based surfactant as a template and adsorption of azo dye Congo red is investigated. Adsorbent is characterized by Fourier transform infrared spectroscopy, X-ray diffraction, scanning electron microscopy, transmission electron microscopy, dynamic light scattering and N2 adsorption–desorption and deduced a lofty surface area of 342 m2/g. Effect of contact time, adsorbent dose, initial dye concentration and temperature were speculated to optimize adsorption conditions. Experimental data were contemplated for various kinetics and thermodynamic models at different temperatures and insinuated that adsorption process is film diffusion controlled and followed second order kinetics. Langmuir model imparted high value of monolayer capacity as 312.5 mg/g. The values of thermodynamic parameters like enthalpy (DH) and entropy (DS) were found to be 49.94 kJ/mol and 265.5 J/K/mol, respectively, and negative values of DG corroborated that the present adsorption system is feasible, spontaneous and endothermic.
Some Bounds for Zeros of a Polynomial with Restricted coefficients
Mahnaz Shafi Chishti,Vipin Kumar Tyagi,Mohammad Ibrahim Mir 한국수학교육학회 2024 純粹 및 應用數學 Vol.31 No.1
For a Polynomial P(z)= SMALLSUM _{j=0}^{n} `a _{j} z ^{j} with a_j ≥ a_j−1, a_0 > 0 (j = 1, 2, ..., n), a classical result of Enestrom-Kakeya says that all the zeros of P(z) lie in |z| ≤ 1. This result was generalized by A. Joyal et al. [3] where they relaxed the non-negative condition on the coefficents. This result was further generalized by Dewan and Bidkham [9] by relaxing the monotonicity of the coefficients. In this paper, we use some techniques to obtain some more generalizations of the results [3], [8], [9].
SOME BOUNDS FOR THE ZEROS OF POLYNOMIALS
( Mahnaz Shafi Chishti ),( Mohammad Ibrahim Mir ),( Vipin Kumar Tyagi ) 한국수학교육학회 2023 純粹 및 應用數學 Vol.30 No.1
In this paper, we find a bound for all the zeros of a polynomial in terms of its coefficients similar to the bound given by Montel (1932) and Kuneyida (1916) as an improvement of Cauchy's classical theorem. In fact, we use a generalized version of Hölder's inequality for obtaining various interesting bounds for all the zeros of a polynomial as function of their coefficients.