On a Functional Equation Arising from Subcontrary Mean and Its Pertinences
Modelling equations involving functions is a powerful tool in many physical problems which do not require derivatives of function. The study of solution, stability and application of functional equations is an emerging field in the present scenario of research in abstract and applied mathematics. The purpose of this study is to deal with a new functional equation arising from subcontrary mean (harmonic mean) and its various fundamental stabilities relevant to Ulam’s ideology of stability and also its pertinences in different fields such as physics, finance, geometry and in other sciences. We illustrate a numerical example to relate the equation dealt in this study with the fuel economy in automobiles.
KeywordsArithmetic mean Harmonic mean Functional equation Ulam stability
2010 Mathematics Subject Classication:39B82 39B72
The first and third authors are supported by The Research Council, Oman (Under Project proposal ID: BFP/RGP/CBS/18/099).
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