Bashirov, A.E. ve Rıza, M., 2011. On complex multiplicative differentation, TWMS Journal of Applied and Engineering Mathematics, 1(1), 75-85.
Çakmak, A. F. ve Başar F., 2012. Some new results on sequence spaces with respect to non-Newtonian calculus, Journal of Inequalities and Applications, 228, 1-12.
Duyar, C. ve Oğur, O., 2017. A note on topology of non-Newtonian real numbers, Journal of Mathematics, 13(6), 11-14.
Duyar, C., Sağır, B. ve Oğur, O., 2015. Some basic topological properties on non-Newtonian real line, British Journal of Mathematics and Computer Science, 9(4), 300-307.
Duyar, C. ve Sağır B., 2017. Non-Newtonian comment of Lebesgue measure in real numbers, Journal of Mathematics, Article ID 6507013, 1-4.
Erdoğan, M., 2016. Newtonyen olmayan reel sayı serileri ve has olmayan integraller, Yüksek Lisans Tezi, Ondokuz Mayıs Üniversitesi Fen Bilimleri Enstitüsü, Samsun, 89s.
Florak, L. ve Assen, H. V., 2012. Multiplicative calculus in biomedical image anaysis, Journal of Mathematical Imaging and Vision, 42(1), 64-75.
Grossman, M. ve Katz, R., 1972. Non-Newtonian calculus, 1 st ed. Press, Piagen Cove Massuchusets.
Kadak, U., 2015. Newtonyen olmayan analiz ve çeşitli uygulamaları, Doktora Tezi, Gazi Üniversitesi Fen Bilimleri Enstitüsü, Ankara, 100s.
Natanson, I. P., 1964. Theory of function of a real variable, vol 1, Frederick Ungar Publishing Co., New York, NY, USA.
Oğur, O. ve Demir, S., 2019. On non-Newtonian measure for closed sets, New Trends in Mathematical Sciences, 7(2), 202-207.
Non-Newtonian Lebesgue Measure
Year 2020,
Volume: 10 Issue: 1, 134 - 139, 15.01.2020
In this paper,
definitions of the inner and outer measure of non-Newtonian bounded sets are
given. Also, Lebesgue measure of non-Newtonian sets is defined and related
theorems are given.
Bashirov, A.E. ve Rıza, M., 2011. On complex multiplicative differentation, TWMS Journal of Applied and Engineering Mathematics, 1(1), 75-85.
Çakmak, A. F. ve Başar F., 2012. Some new results on sequence spaces with respect to non-Newtonian calculus, Journal of Inequalities and Applications, 228, 1-12.
Duyar, C. ve Oğur, O., 2017. A note on topology of non-Newtonian real numbers, Journal of Mathematics, 13(6), 11-14.
Duyar, C., Sağır, B. ve Oğur, O., 2015. Some basic topological properties on non-Newtonian real line, British Journal of Mathematics and Computer Science, 9(4), 300-307.
Duyar, C. ve Sağır B., 2017. Non-Newtonian comment of Lebesgue measure in real numbers, Journal of Mathematics, Article ID 6507013, 1-4.
Erdoğan, M., 2016. Newtonyen olmayan reel sayı serileri ve has olmayan integraller, Yüksek Lisans Tezi, Ondokuz Mayıs Üniversitesi Fen Bilimleri Enstitüsü, Samsun, 89s.
Florak, L. ve Assen, H. V., 2012. Multiplicative calculus in biomedical image anaysis, Journal of Mathematical Imaging and Vision, 42(1), 64-75.
Grossman, M. ve Katz, R., 1972. Non-Newtonian calculus, 1 st ed. Press, Piagen Cove Massuchusets.
Kadak, U., 2015. Newtonyen olmayan analiz ve çeşitli uygulamaları, Doktora Tezi, Gazi Üniversitesi Fen Bilimleri Enstitüsü, Ankara, 100s.
Natanson, I. P., 1964. Theory of function of a real variable, vol 1, Frederick Ungar Publishing Co., New York, NY, USA.
Oğur, O. ve Demir, S., 2019. On non-Newtonian measure for closed sets, New Trends in Mathematical Sciences, 7(2), 202-207.