Beberapa Sifat Fungsi-Fungsi Terintegralkan Henstock-Kurzweil di Ruang Berdimensi-n
نویسندگان
چکیده
Integral Henstock-Kurzweil dapat dikatakan sebagai perumuman dari integral Riemann. ini dikonstruksi berdasarkan partisi yang didefinisikan dengan memodifikasi konstanta pada Riemann menjadi fungsi positif . Pada artikel ini, ditunjukkan sifat-sifat dipenuhi oleh fungsi-fungsi terintegralkan khususnya di ruang berdimensi-n menggunakan norm maksimum. Kemudian pula bahwa setaip kontinu himpunan tertutup dan terbatas mengakibatkan tersebut Henstock-Kurzweil. Terakhir, fakta hasil kali tidak selalu merupakan berdimensi-n.
منابع مشابه
Henstock–Kurzweil Fourier transforms
The Fourier transform is considered as a Henstock–Kurzweil integral. Sufficient conditions are given for the existence of the Fourier transform and necessary and sufficient conditions are given for it to be continuous. The Riemann–Lebesgue lemma fails: Henstock– Kurzweil Fourier transforms can have arbitrarily large point-wise growth. Convolution and inversion theorems are established. An appen...
متن کاملHenstock-Kurzweil Integral Transforms
Copyright q 2012 Salvador Sánchez-Perales et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We show conditions for the existence, continuity, and differentiability of functions defined by ΓΓs ∞ −∞ ftgt, sdt, where f is a func...
متن کاملHenstock–Kurzweil delta and nabla integrals
We will study the Henstock–Kurzweil delta and nabla integrals, which generalize the Henstock–Kurzweil integral. Many properties of these integrals will be obtained. These results will enable time scale researchers to study more general dynamic equations. The Hensock–Kurzweil delta (nabla) integral contains the Riemann delta (nabla) and Lebesque delta (nabla) integrals as special cases.
متن کاملLaplace Transform Using the Henstock-kurzweil Integral
We consider the Laplace transform as a Henstock-Kurzweil integral. We give conditions for the existence, continuity and differentiability of the Laplace transform. A Riemann-Lebesgue Lemma is given, and it is proved that the Laplace transform of a convolution is the pointwise product of Laplace transforms.
متن کاملSubstitution Formulas for the Kurzweil and Henstock Vector Integrals
Results on integration by parts and integration by substitution for the variational integral of Henstock are well-known. When real-valued functions are considered, such results also hold for the Generalized Riemann Integral defined by Kurzweil since, in this case, the integrals of Kurzweil and Henstock coincide. However, in a Banach-space valued context, the Kurzweil integral properly contains ...
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: JMPM (Jurnal Matematika dan Pendidikan Matematika)
سال: 2021
ISSN: ['2502-986X', '2502-9878']
DOI: https://doi.org/10.26594/jmpm.v6i1.2170