SOME REVERSE DYNAMIC INEQUALITIES ON TIME SCALES
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972717000478
Abstract: In this paper, we prove some new reverse dynamic inequalities of Renaud- and Bennett-type on time scales. The results are established using the time scales Fubini theorem, the reverse Hölder inequality and a time scales… read more here.
Keywords: inequalities time; time scales; reverse dynamic; time ... See more keywords
Some Steffensen-type dynamic inequalities on time scales
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DOI: 10.1186/s13662-019-2193-2
Abstract: We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some known… read more here.
Keywords: steffensen type; inequalities time; time scales; time ... See more keywords
On some generalizations of nonlinear dynamic inequalities on time scales and their applications
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DOI: 10.2298/aadm170406010e
Abstract: In this article, by using Young's inequality, we prove some new nonlinear dynamic inequalities of Gronwall-Bellman-Pachpatte type on time scales. These inequalities give us the integral and discrete version, and also extend some known dynamic… read more here.
Keywords: nonlinear dynamic; dynamic inequalities; inequalities time; generalizations nonlinear ... See more keywords
On Some New Dynamic Inequalities Involving C-Monotonic Functions on Time Scales
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DOI: 10.3390/axioms11110644
Abstract: In this paper, we establish some new dynamic inequalities involving C-monotonic functions with C≥1, on time scales. As a special case of our results when C=1, we obtain the inequalities involving increasing or decreasing functions… read more here.
Keywords: inequalities involving; dynamic inequalities; monotonic functions; new dynamic ... See more keywords
On Some Important Dynamic Inequalities of Hardy-Hilbert-Type on Timescales
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DOI: 10.3390/sym14071421
Abstract: In this article, by using some algebraic inequalities, nabla Hölder inequalities, and nabla Jensen’s inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on… read more here.
Keywords: inequalities hardy; inequalities timescales; hilbert type; dynamic inequalities ... See more keywords
Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities and Their Applications on Time Scales
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DOI: 10.3390/sym14091804
Abstract: In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall–Bellman–Pachpatte-type on time scales. These inequalities can be used as handy tools to study the… read more here.
Keywords: time; dynamic inequalities; time scales; bellman pachpatte ... See more keywords
Some Generalizations of Novel (Δ∇)Δ-Gronwall-Pachpatte Dynamic Inequalities on Time Scales with Applications
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DOI: 10.3390/sym14091806
Abstract: We established several novel inequalities of Gronwall–Pachpatte type on time scales. Our results can be used as handy tools to study the qualitative and quantitative properties of the solutions of the initial boundary value problem… read more here.
Keywords: time; gronwall pachpatte; dynamic inequalities; generalizations novel ... See more keywords
Some Generalizations of (∇∇)Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities on Time Scales with Application
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DOI: 10.3390/sym14091823
Abstract: As a new usage of Leibniz integral rule on time scales, we proved some new extensions of dynamic Gronwall–Pachpatte-type inequalities on time scales. Our results extend some existing results in the literature. Some integral and… read more here.
Keywords: time; pachpatte; inequalities time; dynamic inequalities ... See more keywords
(Δ∇)∇-Pachpatte Dynamic Inequalities Associated with Leibniz Integral Rule on Time Scales with Applications
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DOI: 10.3390/sym14091867
Abstract: We prove some new dynamic inequalities of the Gronwall–Bellman–Pachpatte type on time scales. Our results can be used in analyses as useful tools for some types of partial dynamic equations on time scales and in… read more here.
Keywords: pachpatte dynamic; time; scales applications; dynamic inequalities ... See more keywords
CONSONANCY OF DYNAMIC INEQUALITIES CORRELATED ON TIME SCALE CALCULUS
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DOI: 10.5556/j.tkjm.51.2020.3145
Abstract: In this paper, discrete and continuous versions of some inequalitiessuch as Radon's Inequality, Bergstrom's Inequality, Nesbitt's Inequality,Rogers-Holder's Inequality and Schlomilch's Inequality are unified on dynamictime scale calculus in extended form. read more here.
Keywords: consonancy dynamic; inequalities correlated; scale calculus; inequality ... See more keywords