Generalization of Jensen-type linear functional on time scales via lidstone polynomial

Bibi, Rabia; Nosheen, Ammara; Pečarić, Josip

doi:10.1080/23311835.2017.1330670

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Diamond Integral1

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Cited by 8 publications

(1 citation statement)

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“…Several generalizations and refinements of Jensen's inequality for time-scales integrals can also be found in the literature (see [1,5,6,11,16,18]). For diamond integrals, Jensen's inequality is generalized in 2017, see [4].…”

Section: Diamond Integralmentioning

confidence: 99%

Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

et al. 2022

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Section: Diamond Integralmentioning

confidence: 99%

Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

et al. 2022

Self Cite

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show abstract

Generalization of Some Bounds containing Entropies on Time Scales

Bilal

Khan

Nosheen

et al. 2023

Qual. Theory Dyn. Syst.

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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial

Bibi

Nosheen

et al. 2021

Journal of Function Spaces

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In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n -convex function is deduced from Jensen’s inequality involving diamond integrals. Special Hermite conditions, including Taylor two-point formula and Lagrange’s interpolation, are also deployed to find further extensions of Jensen’s functional. The paper also includes discussion on bounds for Grüss-type inequality, Ostrowski-type inequality, and C ˘ ebyšev functional associated with newly defined Jensen’s functional.

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Generalization of Jensen-type linear functional on time scales via lidstone polynomial

Cited by 8 publications

References 12 publications

Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

Generalization of Some Bounds containing Entropies on Time Scales

Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial

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