کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709731 1012862 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of a new integral expansion for solving a class of functional equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Application of a new integral expansion for solving a class of functional equations
چکیده انگلیسی

In a recent paper [M. Masjed-Jamei, H.M. Srivastava, An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions, Appl. Math. Lett. 22 (2009) 406–411], a new type of integral expansions for analytic functions was introduced and investigated. In this sequel to our earlier paper, we make use of the aforementioned expansion in order to explicitly obtain the general solutions of the following functional equation: f(k+1)(a)+bkf(k)(a)=ckf(k+1)(a)+bkf(k)(a)=ck(k∈N0≔N∪{0};N≔{1,2,3,⋯}) for various kinds of real sequences {bk}{bk} and {ck}{ck}, where (as usual) f(k)(a)f(k)(a) is the kkth derivative of the unknown function f(x)f(x) at x=ax=a. We also present some illustrative examples in this sense.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 23, Issue 4, April 2010, Pages 421–425
نویسندگان
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