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Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1855-z
Abstract: We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus.
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Keywords:
conformable fractional;
fractional calculus;
inequalities via;
impulsive inequalities ... See more keywords
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Published in 2020 at "Advances in Difference Equations"
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…
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Keywords:
szeg eby;
eby type;
generalized fractional;
inequalities via ... See more keywords
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Published in 2023 at "Filomat"
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…
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Keywords:
refined berezin;
number inequalities;
berezin number;
number ... See more keywords
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Published in 2021 at "Russian Mathematics"
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…
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Keywords:
type inequalities;
via fractional;
generalized hadamard;
hadamard type ... See more keywords
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Published in 2022 at "Symmetry"
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…
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Keywords:
conformable calculus;
leindler inequalities;
fractional leindler;
leindler ... See more keywords
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Published in 2022 at "Symmetry"
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…
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Keywords:
hadamard inequalities;
inequalities via;
hermite hadamard;
via integrals ... See more keywords
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Published in 2021 at "Kragujevac journal of mathematics"
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…
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Keywords:
inequality;
refinements numerical;
radius inequalities;
numerical radius ... See more keywords
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Published in 2020 at "Journal of Mathematical Inequalities"
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…
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Keywords:
divergence theorem;
integral inequalities;
divergence;
inequalities via ... See more keywords