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Journal articles on the topic 'Continuous functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Carpintero, C., E. Rosas, M. Sallas-Brown, and L. Vasquez. "A unified theory of weakly g-closed sets and weakly g-continuous functions." Sarajevo Journal of Mathematics 9, no. 2 (2013): 303–15. http://dx.doi.org/10.5644/sjm.09.2.14.

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2

Janković, Dragan S., and Ch Konstadilaki-Savvopoulou. "On $\alpha$-continuous functions." Mathematica Bohemica 117, no. 3 (1992): 259–70. http://dx.doi.org/10.21136/mb.1992.126287.

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3

Maliszewski, Aleksander. "Averages of quasi-continuous functions." Mathematica Bohemica 124, no. 1 (1999): 29–34. http://dx.doi.org/10.21136/mb.1999.125978.

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4

M, Vivek Prabu. "SEMI #GENERALIZED α–CONTINUOUS FUNCTIONS". Kongunadu Research Journal 1, № 1 (2014): 29–30. http://dx.doi.org/10.26524/krj6.

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5

Holá, Ľubica. "An extension theorem for continuous functions." Czechoslovak Mathematical Journal 38, no. 3 (1988): 398–403. http://dx.doi.org/10.21136/cmj.1988.102235.

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6

Buczolich, Zoltán. "Micro tangent sets of continuous functions." Mathematica Bohemica 128, no. 2 (2003): 147–67. http://dx.doi.org/10.21136/mb.2003.134036.

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7

Shi. "SOME TYPICAL PROPERTIES OF SYMMETRICALLY CONTINUOUS FUNCTIONS, SYMMETRIC FUNCTIONS AND CONTINUOUS FUNCTIONS." Real Analysis Exchange 21, no. 2 (1995): 708. http://dx.doi.org/10.2307/44152681.

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8

Gulchehra, Ortig'aliyeva. "CONTINUOUS, DIFFERENTIALIZED FUNCTIONS." EURASIAN JOURNAL OF ACADEMIC RESEARCH 1, no. 4 (2021): 165–68. https://doi.org/10.5281/zenodo.5136580.

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We know that continuity is a necessary condition for the differentiability of a function. This may sometimes lead to incorrect assumptions assuming all continuous functions are differentiable. However, this is wrong in general. In this article, we introduce functions that are continuous but differentiable nowhere, as well as the Weierstrass function.

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9

Dhana Balan, AP, G. Amutha, and C. Santhi. "Some Faintly Continuous Functions on Generalized Topology." MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES 3, no. 1 (2014): 15–22. http://dx.doi.org/10.15415/mjis.2014.31002.

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10

RamanaReddy, Dr M. "Fixed Points in Continuous Non Decreasing Functions." International Journal of Trend in Scientific Research and Development Volume-1, Issue-5 (2017): 85–89. http://dx.doi.org/10.31142/ijtsrd2251.

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11

K, Baby. "CONTRA_σgμ - CONTINUOUS FUNCTIONS". Kongunadu Research Journal 1, № 2 (2019): 6–9. http://dx.doi.org/10.26524/krj29.

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12

Kardos, Judit. "Constructing Continuous Functions." College Mathematics Journal 53, no. 1 (2021): 21–32. http://dx.doi.org/10.1080/07468342.2022.1995302.

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13

Larson. "Density Continuous Functions." Real Analysis Exchange 15, no. 1 (1989): 10. http://dx.doi.org/10.2307/44151977.

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14

Hart and Kunen. "ORTHOGONAL CONTINUOUS FUNCTIONS." Real Analysis Exchange 25, no. 2 (1999): 653. http://dx.doi.org/10.2307/44154021.

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15

Don, Hadwin, Kaonga Llolsten, and Mathes Ben. "NONCOMMUTATIVE CONTINUOUS FUNCTIONS." Journal of the Korean Mathematical Society 40, no. 5 (2003): 789–830. http://dx.doi.org/10.4134/jkms.2003.40.5.789.

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16

Noiri, Takashi. "Slightlyβ-continuous functions". International Journal of Mathematics and Mathematical Sciences 28, № 8 (2001): 469–78. http://dx.doi.org/10.1155/s0161171201006640.

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We define a functionf:X→Yto be slightlyβ-continuous if for every clopen setVofY,f−1(V)⊂Cl(Int(Cl(f−1(V)))). We obtain several properties of such a function. Especially, we define the notion of ultra-regularizations of a topology and obtain interesting characterizations of slightlyβ-continuous functions by using it.

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17

Szyszkowski, Marcin. "Axial continuous functions." Topology and its Applications 157, no. 3 (2010): 559–62. http://dx.doi.org/10.1016/j.topol.2009.10.014.

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18

Ostrovsky, Alexey. "Finitely continuous functions." Topology and its Applications 261 (July 2019): 46–50. http://dx.doi.org/10.1016/j.topol.2019.05.004.

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19

Christian Richter. "Continuous Rigid Functions." Real Analysis Exchange 35, no. 2 (2010): 343. http://dx.doi.org/10.14321/realanalexch.35.2.0343.

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20

Noiri, Takashi. "Weaklyα-continuous functions". International Journal of Mathematics and Mathematical Sciences 10, № 3 (1987): 483–90. http://dx.doi.org/10.1155/s0161171287000565.

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In this paper, we introduce the notion of weaklyα-continuous functions in topological spaces. Weakα-continuity and subweak continuity due to Rose [1] are independent of each other and are implied by weak continuity due to Levine [2]. It is shown that weaklyα-continuous surjections preserve connected spaces and that weaklyα-continuous functions into regular spaces are continuous. Corollary1of [3] and Corollary2of [4] are improved as follows: Iff1:X→Yis a semi continuous function into a Hausdorff spaceY,f2:X→Yis either weaklyα-continuous or subweakly continuous, andf1=f2on a dense subset ofX, th

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21

Rose, David A. "Subweaklyα-continuous functions". International Journal of Mathematics and Mathematical Sciences 11, № 4 (1988): 713–19. http://dx.doi.org/10.1155/s0161171288000869.

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In a recent paper by T. Noiri [1], a functionf:X→Yis said to be weaklyα-continuous iff:Xα→Yis weakly continuous whereXαis the spaceXendowed with theα-topolooy. Smilarly, we define subweakα-continuity and almostα-continuity and show that almostα-continuity coincides with the almost continuity of T. Husain [2] and H. Blumberg [3]. This implies a functional tridecomposition of continuity using almost continuity and subweakα-continuity.

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22

Konstadilaki-Savvapoulou, Ch, and D. Janković. "R-continuous functions." International Journal of Mathematics and Mathematical Sciences 15, no. 1 (1992): 57–64. http://dx.doi.org/10.1155/s0161171292000073.

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A strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration areR-continuous. Several results in the literature concerning strong continuity properties are generalized and/or improved.

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23

Cammaroto, F., та T. Noiri. "Almostγ-continuous functions". International Journal of Mathematics and Mathematical Sciences 15, № 2 (1992): 379–84. http://dx.doi.org/10.1155/s0161171292000498.

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In this paper, a new class of functions called almostγ-continuous is introduced and their several properties are investigated. This new class is also utilized to improve some published results concerning weak continuity [6] andγ-continuity [2].

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24

Baker, C. W. "Subcontra-continuous functions." International Journal of Mathematics and Mathematical Sciences 21, no. 1 (1998): 19–23. http://dx.doi.org/10.1155/s0161171298000027.

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A weak form of contra-continuity, called subcontra-continuity, is introduced. It is shown that subcontra-continuity is strictly weaker than contra-continuity and stronger than both subweak continuity and sub-LC-continuity. Subcontra-continuity is used to improve several results in the literature concerning compact spaces.

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25

Boxer, Laurence. "Digitally continuous functions." Pattern Recognition Letters 15, no. 8 (1994): 833–39. http://dx.doi.org/10.1016/0167-8655(94)90012-4.

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26

Filipczak, Małgorzata, та Małgorzata Terepeta. "ψ-continuous functions". Rendiconti del Circolo Matematico di Palermo 58, № 2 (2009): 245–55. http://dx.doi.org/10.1007/s12215-009-0018-y.

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27

Mehta, Ghanshyam. "Continuous utility functions." Economics Letters 18, no. 2-3 (1985): 113–15. http://dx.doi.org/10.1016/0165-1765(85)90162-4.

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28

Hanafy, I. M. "HC-continuous functions." Periodica Mathematica Hungarica 31, no. 3 (1995): 183–87. http://dx.doi.org/10.1007/bf01882193.

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29

Polster, B. "Continuous planar functions." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 66, no. 1 (1996): 113–29. http://dx.doi.org/10.1007/bf02940797.

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30

Brodhead, Paul, Douglas Cenzer, and Jeffrey B. Remmel. "Random Continuous Functions." Electronic Notes in Theoretical Computer Science 167 (January 2007): 275–87. http://dx.doi.org/10.1016/j.entcs.2006.08.016.

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31

Anita, Arora, and Kumar Dr.Satish. "ON CONTINUOUS FUNCTIONS." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 5, no. 4 (2016): 296–306. https://doi.org/10.5281/zenodo.49655.

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The aim of this paper is to investigate  class of continuity named ω β continuity. Some characterizations and preservation theorems are investigated.    Relationship between lindelof space and  is studied. Furthermore some basic properties of  are investigated.

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32

Ciesielski, Krzysztof. "Decomposing symmetrically continuous and Sierpinski-Zygmund functions into continuous functions." Proceedings of the American Mathematical Society 127, no. 12 (1999): 3615–22. http://dx.doi.org/10.1090/s0002-9939-99-04955-2.

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33

Mariola Marciniak. "On Finitely Continuous Darboux Functions and Strong Finitely Continuous Functions." Real Analysis Exchange 33, no. 1 (2008): 15. http://dx.doi.org/10.14321/realanalexch.33.1.0015.

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34

Rychlewicz. "ON CONTINUOUS AND QUASI-CONTINUOUS FUNCTIONS." Real Analysis Exchange 19, no. 2 (1993): 547. http://dx.doi.org/10.2307/44152405.

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35

Schweizer, B., and A. Sklar. "Continuous functions that conjugate trapezoid functions." Aequationes Mathematicae 28, no. 1 (1985): 300–304. http://dx.doi.org/10.1007/bf02189423.

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36

V.THAMARAISELVI, P.SIVAGAMI, and SIVA ANNAM G.HARI. "A study on continuous functions in semi prime ideal space." Asia Mathematika 6, no. 3 (2023): 16——23. https://doi.org/10.5281/zenodo.7551542.

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In this paper new type of continuous functions namely S-continuous introduced in semi prime ideal space and compare with continuous function in topological space and study some of their properties. Also we introduced strongly S-continuous and S-irresolute in semi prime ideal space and compared with S-continuous in semi prime ideal space. Totally S-continuous and contra S-continuous were introduced and discussed.

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37

Bruckner, A. M., and Z. Buczolich. "Attractive properties via generalized derivatives of continuous functions." Czechoslovak Mathematical Journal 42, no. 2 (1992): 271–78. http://dx.doi.org/10.21136/cmj.1992.128326.

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38

Krzysztof Chris Ciesielski and David Miller. "A Continuous Tale on Continuous and Separately Continuous Functions." Real Analysis Exchange 41, no. 1 (2016): 19. http://dx.doi.org/10.14321/realanalexch.41.1.0019.

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39

Vechtomov, E. M. "Полукольца непрерывных функций на топологических пространствах". Математический вестник Вятского государственного университета, № 2(25) (27 грудня 2022): 9–22. http://dx.doi.org/10.25730/vsu.0536.22.011.

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The article is an introduction to the theory of rings and semirings of continuous real-valued functions, which allows the reader to get an initial idea of the essence of the subject. The elements of the theory of rings of continuous functions and general topology necessary for the study of functional algebra are presented. Various algebraic and functional-topological characterizations of F-spaces and P-spaces are considered. Research problems on the theory of semirings of continuous functions are formulated. Статья представляет собой введение в теорию колец и полуколец непрерывных действительн

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40

Inthumathi, V., A. Gnanasoundari, and M. Maheswari. "Generalized Soft Multi Functions." Indian Journal Of Science And Technology 17, SPI1 (2024): 1–8. http://dx.doi.org/10.17485/ijst/v17sp1.208.

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Objectives: To acquaint generalized soft multi functions and graphs. Methods: Generalized semi soft multi sets was introduced using semi closure operators and open soft multi sets. As a consequence, this study acquaints generalized semi soft multi continuous functions with the help of generalized semi soft multi sets. Also the concept of generalized soft multi homeomorphisms are introduced via generalized semi soft multi continuous, open and closed mappings and also the thought of closed soft multi graph is introduced through the open soft multi sets and soft multi points. Findings: This study

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41

Mařík. "Derivatives, Continuous Functions and Bounded Lebesgue Functions." Real Analysis Exchange 18, no. 1 (1992): 169. http://dx.doi.org/10.2307/44133055.

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42

Miculescu. "APPROXIMATION OF CONTINUOUS FUNCTIONS BY LIPSCHITZ FUNCTIONS." Real Analysis Exchange 26, no. 1 (2000): 449. http://dx.doi.org/10.2307/44153179.

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43

Maliszewski. "SUMS OF DARBOUX FUNCTIONS AND CONTINUOUS FUNCTIONS." Real Analysis Exchange 21, no. 1 (1995): 91. http://dx.doi.org/10.2307/44153893.

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44

Kellum, Kenneth R., and Harvey Rosen. "Compositions of continuous functions and connected functions." Proceedings of the American Mathematical Society 115, no. 1 (1992): 145. http://dx.doi.org/10.1090/s0002-9939-1992-1073528-7.

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45

Ohta, Haruto, and Masami Sakai. "Sequences of semicontinuous functions accompanying continuous functions." Topology and its Applications 156, no. 17 (2009): 2683–91. http://dx.doi.org/10.1016/j.topol.2009.07.017.

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46

Fuchs-Seliger, Susanne. "Continuous utility functions for noninferior demand functions." Economic Theory 8, no. 1 (1996): 183–88. http://dx.doi.org/10.1007/bf01212020.

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47

Bargmann, D., M. Bonk, A. Hinkkanen, and G. J. Martin. "Families of meromorphic functions avoiding continuous functions." Journal d'Analyse Mathématique 79, no. 1 (1999): 379–87. http://dx.doi.org/10.1007/bf02788248.

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48

Fuchs-Seliger, Susanne. "Continuous utility functions for noninferior demand functions." Economic Theory 8, no. 1 (1996): 183–88. http://dx.doi.org/10.1007/s001990050085.

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49

Noiri. "Somewhat b-Continuous Functions." Journal of Advanced Research in Pure Mathematics 3, no. 3 (2011): 1–7. http://dx.doi.org/10.5373/jarpm.515.072810.

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50

Balasubramanian. "Slightly $\nu-$Continuous Functions." Journal of Advanced Research in Pure Mathematics 4, no. 1 (2012): 100–112. http://dx.doi.org/10.5373/jarpm.719.011211.

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