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Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial


Agarwal, Ravi P.; Ivelić Bradanović, Slavica; Pečarić, Josip
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial // 4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015 / Tosun, Murat (ur.).
Atena, Grčka, 2015. str. 305-305 (predavanje, nije recenziran, sažetak, znanstveni)


Naslov
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial

Autori
Agarwal, Ravi P. ; Ivelić Bradanović, Slavica ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015 / Tosun, Murat - , 2015, 305-305

Skup
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015

Mjesto i datum
Atena, Grčka, 31.08.-03.09.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
majorization; n-convexity; Schur-convexity; Sherman's theorem; Lidstone interpolating polynomial; Čebyšev functional; Grüss type inequalities; Ostrowsky-type inequalities; exponentially convex functions; log-convex functions; means

Sažetak
In majorization theory, the well known Majorization theorem plays a very important role. More general result is obtained by S. Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone's interpolating polynomials and Čebyšev functional. Using obtained results, we generate new familly of exponentially convex functions. The outcome are some new classes of two-parameter Cauchy-type means

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Citiraj ovu publikaciju

Agarwal, Ravi P.; Ivelić Bradanović, Slavica; Pečarić, Josip
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial // 4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015 / Tosun, Murat (ur.).
Atena, Grčka, 2015. str. 305-305 (predavanje, nije recenziran, sažetak, znanstveni)
Agarwal, R., Ivelić Bradanović, S. & Pečarić, J. (2015) Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial. U: Tosun, M. (ur.)4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015.
@article{article, editor = {Tosun, M.}, year = {2015}, pages = {305-305}, keywords = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means}, title = {Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial}, keyword = {majorization, n-convexity, Schur-convexity, Sherman's theorem, Lidstone interpolating polynomial, \v{C}eby\v{s}ev functional, Gr\"{u}ss type inequalities, Ostrowsky-type inequalities, exponentially convex functions, log-convex functions, means}, publisherplace = {Atena, Gr\v{c}ka} }