Pregled bibliografske jedinice broj: 956173
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels // Applied mathematics and computation, 343 (2019), 4; 167-182 (međunarodna recenzija, članak, znanstveni)
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Naslov
A unified treatment of Hilbert-Pachpatte-type
inequalities for a class of non-homogeneous kernels
Autori
Batbold, Tserendorj ; Azar, Laith. E. ; Krnić, Mario
Izvornik
Applied mathematics and computation (0096-3003) 343
(2019), 4;
167-182
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert inequality ; Hilbert-Pachpatte inequality
Sažetak
In the present paper we establish a unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernels. Our results are derived in both discrete and integral versions. A particular emphasis is devoted to constants and weight functions appearing on the right-hand sides of the established inequalities. As an application, we obtain inequalities with constants and weight functions expressed in terms of generalized harmonic numbers, the incomplete Beta and Gamma function, and the logarithmic integral function.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
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