Some Inequalities of the Incomplete Gamma and Related Functions
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولOn some inequalities for the incomplete gamma function
Let p 6= 1 be a positive real number. We determine all real numbers α = α(p) and β = β(p) such that the inequalities [1− e−βx p ] < 1 Γ(1 + 1/p) ∫ x 0 e−t p dt < [1− e−αx p ] are valid for all x > 0. And, we determine all real numbers a and b such that − log(1− e−ax) ≤ ∫ ∞ x e−t t dt ≤ − log(1− e−bx)
متن کاملthe evaluation of language related engagment and task related engagment with the purpose of investigating the effect of metatalk and task typology
abstract while task-based instruction is considered as the most effective way to learn a language in the related literature, it is oversimplified on various grounds. different variables may affect how students are engaged with not only the language but also with the task itself. the present study was conducted to investigate language and task related engagement on the basis of the task typolog...
15 صفحه اولSome inequalities for the q-beta and the q-gamma functions via some q-integral inequalities
Some new inequalities for the q-gamma, the q-beta and the q-analogue of the Psi functions are established via some q-integral inequalities. In classical analysis, integral inequalities have been well-developed and leading to a wide variety of applications in mathematics and physics (see [11–13] and references therein). In a survey paper [4], Dragomir et al. used certain clever integral inequali...
متن کاملOn some inequalities for the gamma and psi functions
We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and superadditive functions which are related to Γ and ψ. 1 Euler’s gamma function Γ(x) = ∫ ∞ 0 e−ttx−1 dt (x > 0) is one of the most important functions in analysis and its applications. The history and the development of this function are described in detail in a paper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für Analysis und ihre Anwendungen
سال: 1999
ISSN: 0232-2064
DOI: 10.4171/zaa/914