Noninstantaneous impulsive inequalities via conformable fractional calculus
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DOI: 10.1186/s13660-018-1855-z
Abstract: We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus. read more here.
Keywords: conformable fractional; fractional calculus; inequalities via; impulsive inequalities ... 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
Refined Berezin number inequalities via superquadratic and convex functions
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DOI: 10.2298/fil2301265c
Abstract: In this paper, we generalize and refine some Berezin number inequalities for Hilbert space operators. Namely, we refine the Hermite-Hadamard inequality and some other recent results by using the concept of superquadraticity and convexity. Then… read more here.
Keywords: refined berezin; number inequalities; berezin number; number ... See more keywords
Some Generalized Hadamard–Type Inequalities via Fractional Integrals
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DOI: 10.3103/s1066369x21020018
Abstract: In this paper, we establish some generalized inequalities of the Hermite–Hadamard type using fractional Riemann–Liouville integrals for the class of s-convex functions in the first and second sense. We assume that second derivatives of these… read more here.
Keywords: type inequalities; via fractional; generalized hadamard; hadamard type ... See more keywords
Fractional Leindler's Inequalities via Conformable Calculus
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DOI: 10.3390/sym14101958
Abstract: In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and Hölder inequality on conformable fractional calculus. As a special case, some classical integral inequalities… read more here.
Keywords: conformable calculus; leindler inequalities; fractional leindler; leindler ... See more keywords
On q-Hermite-Hadamard Inequalities via q - h-Integrals
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DOI: 10.3390/sym14122648
Abstract: This paper aims to find Hermite–Hadamard-type inequalities for a generalized notion of integrals called q−h-integrals. Inequalities for q-integrals can be deduced by taking h=0 and are connected with several known results of q-Hermite–Hadamard inequalities. In… read more here.
Keywords: hadamard inequalities; inequalities via; hermite hadamard; via integrals ... See more keywords
Some Refinements of the Numerical Radius Inequalities via Young Inequality
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DOI: 10.46793/kgjmat2102.191h
Abstract: In this paper, we get an improvement of the Hölder-McCarthy operator inequality in the case when r ≥ 1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert… read more here.
Keywords: inequality; refinements numerical; radius inequalities; numerical radius ... See more keywords
Some multiple integral inequalities via the divergence theorem
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DOI: 10.7153/jmi-2020-14-42
Abstract: SOME MULTIPLE INTEGRAL INEQUALITIES VIA THE DIVERGENCE THEOREM SILVESTRU SEVER DRAGOMIR (Communicated by J. Pečarić) Abstract. In this paper, by the use of the divergence theorem, we establish some inequalities for functions defined on closed… read more here.
Keywords: divergence theorem; integral inequalities; divergence; inequalities via ... See more keywords