On the refinements of some important inequalities with a finite set of positive numbers
Copyright policy )On the refinements of some important inequalities with a finite set of positive numbers
In this research, a novel method for enhancing the Hölder–Işcan inequality through the utilization of both integrals and sums, as well as the mean power inequality, has been introduced. This approach outperforms traditional Hölder and mean power integral inequalities by employing a finite set of functions. Through the careful selection of the function , an entirely new category of classical inequalities emerges for both Hölder and mean power inequalities.
- Duzce University Turkey
- Université IBN Khaldoun Tiaret Algeria
Hölder inequality, Young inequality, Set (abstract data type), Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, FOS: Mathematics, power-mean integral inequality, Matrix Algorithms and Iterative Methods, Applied Mathematics, Pure mathematics, Inequalities involving derivatives and differential and integral operators, Discrete mathematics, Computer science, Programming language, Holder inequality, Computational Theory and Mathematics, Inequality, Physical Sciences, Computer Science, Inequalities for sums, series and integrals, Finite set, Mathematics
Hölder inequality, Young inequality, Set (abstract data type), Matrix Inequalities and Geometric Means, Mathematical analysis, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, FOS: Mathematics, power-mean integral inequality, Matrix Algorithms and Iterative Methods, Applied Mathematics, Pure mathematics, Inequalities involving derivatives and differential and integral operators, Discrete mathematics, Computer science, Programming language, Holder inequality, Computational Theory and Mathematics, Inequality, Physical Sciences, Computer Science, Inequalities for sums, series and integrals, Finite set, Mathematics
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