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Pregled bibliografske jedinice broj: 1270078

Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

Butt, Saad Ihsan; Pečarić, Josip; Tipurić-Spužević, Sanja
Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces // Mathematics, 11 (2023), 7; 1756, 19 doi:10.3390/math11071756 (međunarodna recenzija, članak, znanstveni)

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Naslov
Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

Autori
Butt, Saad Ihsan ; Pečarić, Josip ; Tipurić-Spužević, Sanja

Izvornik
Mathematics (2227-7390) 11 (2023), 7; 1756, 19

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

Ključne riječi
Sonin’s identity ; Korkine’s identity ; Čebyšev functional ; Grüss inequality ; Jensen–Grüss inequality

Sažetak
The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, and extensions. In the present article, we provide generalizations of Sokolov’s inequality in weighted Lebesgue Lω(Ω, A, μ) spaces by employing the weighted Sonin’s identity and Čebyšev functional. As a result, we provide a generalized Grüss inequality in which the bounding constants are improved with bounding functions in Lpω(Ω, A, μ) spaces. As an application, we provide several new bounds for Jensen–Grüss type differences.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Ustanove:
Kemijsko-tehnološki fakultet, Split

Profili:

Avatar Url Sanja Tipurić-Spužević (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Butt, Saad Ihsan; Pečarić, Josip; Tipurić-Spužević, Sanja
Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces // Mathematics, 11 (2023), 7; 1756, 19 doi:10.3390/math11071756 (međunarodna recenzija, članak, znanstveni)
Butt, S., Pečarić, J. & Tipurić-Spužević, S. (2023) Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces. Mathematics, 11 (7), 1756, 19 doi:10.3390/math11071756.
@article{article, author = {Butt, Saad Ihsan and Pe\v{c}ari\'{c}, Josip and Tipuri\'{c}-Spu\v{z}evi\'{c}, Sanja}, year = {2023}, pages = {19}, DOI = {10.3390/math11071756}, chapter = {1756}, keywords = {Sonin’s identity, Korkine’s identity, \v{C}eby\v{s}ev functional, Gr\"{u}ss inequality, Jensen–Gr\"{u}ss inequality}, journal = {Mathematics}, doi = {10.3390/math11071756}, volume = {11}, number = {7}, issn = {2227-7390}, title = {Generalized \v{C}eby\v{s}ev and Gr\"{u}ss Type Results in Weighted Lebesgue Spaces}, keyword = {Sonin’s identity, Korkine’s identity, \v{C}eby\v{s}ev functional, Gr\"{u}ss inequality, Jensen–Gr\"{u}ss inequality}, chapternumber = {1756} }
@article{article, author = {Butt, Saad Ihsan and Pe\v{c}ari\'{c}, Josip and Tipuri\'{c}-Spu\v{z}evi\'{c}, Sanja}, year = {2023}, pages = {19}, DOI = {10.3390/math11071756}, chapter = {1756}, keywords = {Sonin’s identity, Korkine’s identity, \v{C}eby\v{s}ev functional, Gr\"{u}ss inequality, Jensen–Gr\"{u}ss inequality}, journal = {Mathematics}, doi = {10.3390/math11071756}, volume = {11}, number = {7}, issn = {2227-7390}, title = {Generalized \v{C}eby\v{s}ev and Gr\"{u}ss Type Results in Weighted Lebesgue Spaces}, keyword = {Sonin’s identity, Korkine’s identity, \v{C}eby\v{s}ev functional, Gr\"{u}ss inequality, Jensen–Gr\"{u}ss inequality}, chapternumber = {1756} }

Časopis indeksira:


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

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