National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Monotonicity of functions which can be expressed using elementary functions
Peltan, Libor ; Bárta, Tomáš (advisor) ; Pyrih, Pavel (referee)
For certain types of functions expressible with formula (equivalently: functions from classes closed to arithmetic operations) under stated assumptions, we prove monotonicity at some neighbourhood of +∞. They are: formulas containing exp, log, sin, arctan, etc. with constrainted domain of these functions; power series with cofinite many coefficients positive; various classes of functions expressible with formulas with the requirement of preserving monotony in summation, or multiplication, or the monotony resulting from having a finite number of zero points; and finally formulas with square root. 1
Monotonicity of functions which can be expressed using elementary functions
Peltan, Libor ; Bárta, Tomáš (advisor) ; Pyrih, Pavel (referee)
For certain types of functions expressible with formula (equivalently: functions from classes closed to arithmetic operations) under stated assumptions, we prove monotonicity at some neighbourhood of +∞. They are: formulas containing exp, log, sin, arctan, etc. with constrainted domain of these functions; power series with cofinite many coefficients positive; various classes of functions expressible with formulas with the requirement of preserving monotony in summation, or multiplication, or the monotony resulting from having a finite number of zero points; and finally formulas with square root. 1

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