BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:S.M. Sitnik (Belgorod State University\, Russia) DTSTART:20251218T110000Z DTEND:20251218T120000Z DTSTAMP:20260423T040041Z UID:mmandim/103 DESCRIPTION:Title: On generalizations of discrete and integral Cauchy–Bunyakovsky inequal ities by the method of mean values. Some applications\nby S.M. Sitnik (Belgorod State University\, Russia) as part of Mathematical models and in tegration methods\n\n\nAbstract\nIn talk we consider generalizations of di screte and integral Cauchy–Bunyakovsky inequalities by the method of mea n values with some applications. Mostly the material is compiled as a shor t survey\, but some results are proved. Main results are listed\, includin g an interesting inequality with maximum and minimum values. Some applicat ions are considered from different fields of mathematics. Among them are e stimates for some special functions\, including Euler gamma and incomplete gamma function\, the Legendre complete elliptic integrals of the first ki nd. Also some further possible generalizations are considered and outlined \, including generalizations of the Acz´el and Minkovskii inequalities\, a case of spaces with sign–indefinite form\, the Jackson’s 𝑞-integr als\, and some others.\n LOCATION:https://researchseminars.org/talk/mmandim/103/ END:VEVENT END:VCALENDAR