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Some results on real valued continuous functions on an interval

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper, results mainly on the structures of some special class of real valued functions on an interval are discussed. Another significant result is also established. These results have been derived and presented mainly in the perspective of study of relations between real valued functions and their derivatives. The results are very fundamental in nature and may be useful in the next course of generalizations or improvements in this direction.
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  • English

REFERENCES

References: 

[1] A. M. Bruckner, J. G. Ceder and Max L. Weiss, On the differentiability structure of real functions, Trans. Amer. Math. Soc. 142 (1969), 1-13
[2] G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, London, 1951.
[3] W. Rudin, Principles of Mathematical Analysis, McGraw-Hill Higher Education,
1976.
[4] H. Whitny, Differentiable functions defined in closed discs, Tran. Amer. Math. Soc., 36 1934, 369-387.

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