Affine Orlicz Pólya–Szegö Principles and Their Equality Cases
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DOI: 10.1093/imrn/rnz061
Abstract: The conjecture about the Orlicz Pólya–Szegö principle posed in [42] is proved. The cases of equality are characterized in the affine Orlicz Pólya–Szegö principle with respect to Steiner symmetrization and Schwarz spherical symmetrization. read more here.
Keywords: lya szeg; affine orlicz; orlicz lya; szeg principles ... See more keywords
On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals
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DOI: 10.1186/s13662-020-02583-3
Abstract: In this paper, we introduce the generalized k-fractional integral in terms of a new parameter $k>0$, present some new important inequalities of Polya–Szego and Cebysev types by use of the generalized k-fractional integral. Our consequences… read more here.
Keywords: szeg eby; eby type; generalized fractional; inequalities via ... See more keywords
New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
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DOI: 10.1186/s13662-020-03134-6
Abstract: It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form… read more here.
Keywords: szeg eby; eby type; measure; general kernel ... See more keywords
Pólya-Szegö Integral Inequalities Using the Caputo-Fabrizio Approach
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DOI: 10.3390/axioms11020079
Abstract: In this article, we establish some of the Pólya–Szegö and Minkowsky-type fractional integral inequalities by considering the Caputo–Fabrizio fractional integral. Moreover, we give some special cases of Pólya–Szegö inequalities. read more here.
Keywords: integral inequalities; lya szeg; caputo fabrizio; szeg integral ... See more keywords