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Pregled bibliografske jedinice broj: 1271372

Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications

Butt, Saad Ihsan; Rasheed, Tahir; Pecaric, Dilda; Pecaric, Josip
Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications // Filomat, 37 (2023), 22; 7641-7662 doi:10.2298/FIL2322641B (međunarodna recenzija, članak, znanstveni)

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Naslov
Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications

Autori
Butt, Saad Ihsan ; Rasheed, Tahir ; Pecaric, Dilda ; Pecaric, Josip

Izvornik
Filomat (0354-5180) 37 (2023), 22; 7641-7662

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Popoviciu's inequality, Montgomery identity, Weighted Hermite-Hadamard inequality, Shannon-Entropy, Kullback-Leibler distance, Zipf and Hybrid-Zipf Law

Sažetak
We consider differences coming from Popoviciu's inequality and give upper and lower bounds by employing weighted Hermite-Hadamard inequality along with the approximations of Montgomery two point formula. We also give bounds for Popoviciu's inequality by employing weighted Hermite-Hadamard inequality along with the approximations of Montgomery one point formula. We testify this scenario by utilizing the theory of n-times differentiable convex functions. Our results hold for all n >= 2 and we provide explicit examples to show the correctness of the bounds obtained for special cases. Last but not least, we provide applications in information theory by providing new uniform estimations of the generalized Csiszar divergence, Renyi-divergence, Shannon-entropy, Kullback-Leibler divergence, Zipf and Hybrid Zipf-Mandelbrot entropies.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Informacijske i komunikacijske znanosti, Interdisciplinarne društvene znanosti



POVEZANOST RADA

Ustanove:
Hrvatska akademija znanosti i umjetnosti,
Sveučilište Sjever, Koprivnica

Profili:

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Butt, Saad Ihsan; Rasheed, Tahir; Pecaric, Dilda; Pecaric, Josip
Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications // Filomat, 37 (2023), 22; 7641-7662 doi:10.2298/FIL2322641B (međunarodna recenzija, članak, znanstveni)
Butt, S., Rasheed, T., Pecaric, D. & Pecaric, J. (2023) Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications. Filomat, 37 (22), 7641-7662 doi:10.2298/FIL2322641B.
@article{article, author = {Butt, Saad Ihsan and Rasheed, Tahir and Pecaric, Dilda and Pecaric, Josip}, year = {2023}, pages = {7641-7662}, DOI = {10.2298/FIL2322641B}, keywords = {Popoviciu's inequality, Montgomery identity, Weighted Hermite-Hadamard inequality, Shannon-Entropy, Kullback-Leibler distance, Zipf and Hybrid-Zipf Law}, journal = {Filomat}, doi = {10.2298/FIL2322641B}, volume = {37}, number = {22}, issn = {0354-5180}, title = {Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications}, keyword = {Popoviciu's inequality, Montgomery identity, Weighted Hermite-Hadamard inequality, Shannon-Entropy, Kullback-Leibler distance, Zipf and Hybrid-Zipf Law} }
@article{article, author = {Butt, Saad Ihsan and Rasheed, Tahir and Pecaric, Dilda and Pecaric, Josip}, year = {2023}, pages = {7641-7662}, DOI = {10.2298/FIL2322641B}, keywords = {Popoviciu's inequality, Montgomery identity, Weighted Hermite-Hadamard inequality, Shannon-Entropy, Kullback-Leibler distance, Zipf and Hybrid-Zipf Law}, journal = {Filomat}, doi = {10.2298/FIL2322641B}, volume = {37}, number = {22}, issn = {0354-5180}, title = {Upper and lower estimations of Popoviciu's difference via weighted Hadamard inequality with applications}, keyword = {Popoviciu's inequality, Montgomery identity, Weighted Hermite-Hadamard inequality, Shannon-Entropy, Kullback-Leibler distance, Zipf and Hybrid-Zipf Law} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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