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Title: :  THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE
PaperId: :  12507
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 6 Issue 4 2020
DUI:    16.0415/IJARIIE-12507
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Pham Thi LinhThai Nguyen University of Economics and Business Administration , Thai Nguyen, Viet Nam
Nguyen Thi Thu HangThai Nguyen University of Economics and Business Administration , Thai Nguyen, Viet Nam
Nguyen Thi TrangHa Long University

Abstract

Mathematics
Functional equalities, quadratic average, arbitrary level average, and and arithmetic average
Functional equalities is one of the oldest topics of mathematical analysis, and it is attentioned of reseachers . In 1964, M. Kuczma, A survay of the theory of functional equation (see, [1] ) . In 1966, T. Aczel , Lectures on functional equations and their applications (see, [2] ) . In 2000, Christopher G. Mall. , Functional eqautions and how to solve them (see, [3] ) . In 2002, B. J. Venkatachala , Functional eqautions – A problem solving aproach (see, [4] . The theory of functional equalities was born very early. Functiona equalities is presented in almost every field and have many applications in life and engineering. There is a lot of Functional equalities. In this paper, we establish the relationship between quadratic average, arbitrary level average, and arithmetic average.To solve some mathematical problems via functional equalities, we use method of substitution.

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IJARIIE Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. "THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE" International Journal Of Advance Research And Innovative Ideas In Education Volume 6 Issue 4 2020 Page 1582-1585
MLA Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. "THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE." International Journal Of Advance Research And Innovative Ideas In Education 6.4(2020) : 1582-1585.
APA Pham Thi Linh, Nguyen Thi Thu Hang, & Nguyen Thi Trang. (2020). THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE. International Journal Of Advance Research And Innovative Ideas In Education, 6(4), 1582-1585.
Chicago Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. "THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE." International Journal Of Advance Research And Innovative Ideas In Education 6, no. 4 (2020) : 1582-1585.
Oxford Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. 'THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE', International Journal Of Advance Research And Innovative Ideas In Education, vol. 6, no. 4, 2020, p. 1582-1585. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/THE_RELATIONSHIP_BETWEEN_QUADRATIC_AVERAGE__ARBITRARY_LEVEL_AVERAGE_AND_ARITHMETIC_AVERAGE_ijariie12507.pdf (Accessed : 18 October 2020).
Harvard Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. (2020) 'THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE', International Journal Of Advance Research And Innovative Ideas In Education, 6(4), pp. 1582-1585IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/THE_RELATIONSHIP_BETWEEN_QUADRATIC_AVERAGE__ARBITRARY_LEVEL_AVERAGE_AND_ARITHMETIC_AVERAGE_ijariie12507.pdf (Accessed : 18 October 2020)
IEEE Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang, "THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE," International Journal Of Advance Research And Innovative Ideas In Education, vol. 6, no. 4, pp. 1582-1585, Jul-Aug 2020. [Online]. Available: https://ijariie.com/AdminUploadPdf/THE_RELATIONSHIP_BETWEEN_QUADRATIC_AVERAGE__ARBITRARY_LEVEL_AVERAGE_AND_ARITHMETIC_AVERAGE_ijariie12507.pdf [Accessed : 18 October 2020].
Turabian Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. "THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 6 number 4 (18 October 2020).
Vancouver Pham Thi Linh, Nguyen Thi Thu Hang, and Nguyen Thi Trang. THE RELATIONSHIP BETWEEN QUADRATIC AVERAGE, ARBITRARY LEVEL AVERAGE AND ARITHMETIC AVERAGE. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2020 [Cited : 18 October 2020]; 6(4) : 1582-1585. Available from: https://ijariie.com/AdminUploadPdf/THE_RELATIONSHIP_BETWEEN_QUADRATIC_AVERAGE__ARBITRARY_LEVEL_AVERAGE_AND_ARITHMETIC_AVERAGE_ijariie12507.pdf
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