Geodesic
Assembling classical and dynamic inequalities accumulated on calculus of time scales
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 26-36

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In this paper, we present an extension of dynamic Renyi's inequality on time scales by using the time scale Riemann–Liouville type fractional integral. Furthermore, we find generalizations of the well–known Lyapunov's inequality and Radon's inequality on time scales by using the time scale Riemann–Liouville type fractional integrals. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues.
Keywords: fractional Riemann–Liouville integral, Renyi's inequality, Lyapunov's inequality, Radon's inequality.
Mots-clés : time scales 
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     author = {M. J. Sahir},
     title = {Assembling classical and dynamic inequalities accumulated on calculus of time scales},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {26--36},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a1/}
}
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M. J. Sahir. Assembling classical and dynamic inequalities accumulated on calculus of time scales. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 26-36. http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a1/