Abstract
In this work, we discuss and introduce the novel literature about Raina-convex function and its algebraic properties. In addition, We elaborate and investigate Hermite-Hadamard and Fejer-type inequalities for newly discussed definition. Finally, using newly introduced definition, we find and prove amazing new integral type inequalities and applications for mean to positive real numbers. The amazing techniques and wonderful ideas of this paper may inspire and motivate for further activities and research in this direction furthermore.
Highlights
During the whole of the 20th century, an enormous and extreme research activity was done and fruitful ideas and magnificent results were obtained in mathematical analysis, functional analysis, convex analysis, mathematical economics and non– linear optimization
The theory of convexity encompasses a large variety of classes of convex functions like functions, s–convex, p–convex, log–convex, h–convex, quasi convex and exponential type convex functions while it
We find integral inequalities and applications about fractional calculus regarding Riana–convex functions
Summary
During the whole of the 20th century, an enormous and extreme research activity was done and fruitful ideas and magnificent results were obtained in mathematical analysis, functional analysis , convex analysis, mathematical economics and non– linear optimization. Due to rich and paramount history, convex analysis and inequalities have become an attractive, interesting and absorbing field for the researchers and for the attention of the reader, see [1, 3, 4, 8, 9, 16, 18,19,20,21,22]. Since the researchers have shown interest in the above inequality and as a result, various generalizations and improvements have have been appeared in the literature This inequality has remained an area of great and vital field for research activities due to its widespread views and robustness applications in the field of mathematical and convex analysis. We find integral inequalities and applications about fractional calculus regarding Riana–convex functions
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