Monotonicity results and inequalities for the inverse hyperbolic sine function

Monotonicity and inequalities for the gamma function

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Refinements and generalizations of some inequalities of Shafer-Fink’s type for the inverse sine function

In this paper, we give some sharper refinements and generalizations of inequalities related to Shafer-Fink's inequality for the inverse sine function stated in Theorems 1, 2, and 3 of Bercu (Math. Probl. Eng. 2017: Article ID 9237932, 2017).

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Inequalities involving inverse circular and inverse hyperbolic functions II

Inequalities connecting inverse circular and inverse hyperbolic functions are obtained. Also, bounds for the inverse hyperbolic sine function are established. Some of the results presented in this paper are derived from the inequalities satisfied by particular bivariate means which belong to the family of the Schwab-Borchardt means. Mathematics subject classification (2010): Primary: 26D07; Sec...