Integration by parts for some general integrals
نویسندگان
چکیده
منابع مشابه
Integration by Parts for Oscillatory Integrals. DRAFT
Assume we have a definite integral we wish to evaluate, but it looks nasty because the integrand is wildly oscillatory and the usual numerical techniques based on sampling will not work well. The approach we take is to reformulate the indefinite integral so it doesn’t wiggle so much. That is, we compute another form for the anti-derivative. Using the fundamental theorem of integral calculus (wh...
متن کاملMellin transform analysis and integration by parts for Hadamard-type fractional integrals
This paper is devoted to the study of four integral operators that are basic generalizations and modifications of fractional integrals of Hadamard, in the space X c of Lebesgue measurable functions f on R+ = (0,∞) such that ∞ ∫ 0 ∣∣ucf (u)∣∣p du u <∞ (1 p <∞), ess sup u>0 [ u ∣∣f (u)∣∣]<∞ (p =∞), for c ∈ R = (−∞,∞), in particular in the space Lp(0,∞) (1 p ∞). Formulas for the Mellin transforms ...
متن کاملǫ-Finite Basis of Master Integrals for the Integration-By-Parts Method
It is shown that for every problem within dimensional regularization, using the Integration-By-Parts method, one is able to construct a set of master integrals such that each corresponding coefficient function is finite in the limit of dimension equal to four. We argue that the use of such a basis simplifies and stabilizes the numerical evaluation of the master integrals. As an example we expli...
متن کاملGeneral Minkowski type and related inequalities for seminormed fuzzy integrals
Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.
متن کاملIntegration by parts
Integration by parts is used to reduce scalar Feynman integrals to master integrals.
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: Bulletin of the Australian Mathematical Society
سال: 1988
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700004093