Found 118 Documents (Results 1–100)
Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind. (English) Zbl 07901600
Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function. (English) Zbl 1529.60023
Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function. (English) Zbl 07777170
Bernstein and Turán type inequalities for the polar derivative of a polynomial. (Bernstien and Turán type inequalities for the polar derivative of a polynomial.) (English) Zbl 1518.26014
Inequalities of Turán-type for algebraic polynomials. (English) Zbl 1502.30018
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 154, 23 p. (2022).
Monotonicity criterion and integrals formulas for the Mittag-Leffler function with applications. (English) Zbl 1489.30020
Functional inequalities and monotonicity results for modified Lommel functions of the first kind. (English) Zbl 1491.33007
Functional inequalities for the generalized Wright functions. (English) Zbl 1497.33001
Chadli, Ouayl (ed.) et al., Mathematical analysis and applications, MAA 2020. Selected papers based on the presentations at the conference, Jamshedpur, India, November 2–4, 2020. Singapore: Springer. Springer Proc. Math. Stat. 381, 247-262 (2021).
Extended elliptic-type integrals with associated properties and Turán-type inequalities. (English) Zbl 1494.26029
Turán-type reverse Markov inequalities for polynomials with restricted zeros. (English) Zbl 1479.41011
Reviewer: Klaus Schiefermayr (Wels)
MSC:
41A17
New integral representations for the Fox-Wright functions and its applications. II. (English) Zbl 1469.33007
J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 1, 37-45 (2021) and Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 1, 54-65 (2021).
On a new class of functions related with Mittag-Leffler and Wright functions and their properties. (English) Zbl 1464.33007
Monotonicity, convexity and inequalities related to complete \((p,q,r)\)-elliptic integrals and generalized trigonometric functions. (English) Zbl 1463.33039
Functional estimates and integral inequalities for the Fox-Wright function. (English) Zbl 1446.30028
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 157, 25 p. (2020).
Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions. (English) Zbl 1437.33005
Reviewer: C. L. Parihar (Indore)
Inequalities of extended \((p,q)\)-beta and confluent hypergeometric functions. (English) Zbl 1448.33007
Functional inequalities for the Fox-Wright functions. (English) Zbl 1431.33007
Reviewer: Sergei V. Rogosin (Minsk)
Generalized Volterra functions, its integral representations and applications to the Mathieu-type series. (English) Zbl 1428.33003
Monotonicity patterns and functional inequalities for classical and generalized Wright functions. (English) Zbl 1425.33005
Some inequalities of the Turán type for confluent hypergeometric functions of the second kind. (English) Zbl 1438.26088
On \((p, q)\)-extension of further members of Bessel-Struve functions class. (English) Zbl 1438.33010
New properties for several classes of functions related to the Fox-Wright functions. (English) Zbl 1477.33003
On Young’s inequality. (English) Zbl 1400.26042
Differential equation and inequalities of the generalized \(\mathtt{k}\)-Bessel functions. (English) Zbl 1498.33019
Turán-type inequalities for Gauss and confluent hypergeometric functions via Cauchy-Bunyakovsky-Schwarz inequality. (English) Zbl 1416.26028
Turán type inequalities for classical and generalized Mittag-Leffler functions. (English) Zbl 1438.33033
Turán type inequalities for \(q\)-Mittag-Leffler and \(q\)-Wright functions. (English) Zbl 1403.26014
New integral representations for the Fox-Wright functions and its applications. (English) Zbl 1400.33022
MSC:
33C60
Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions. (English) Zbl 1446.33009
New inequalities for some generalized Mathieu type series and the Riemann zeta function. (English) Zbl 1391.33007
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications. (English) Zbl 1382.26008
Extension of frame’s type inequalities to Bessel and modified Bessel functions. (English) Zbl 1387.33010
Bounds for the asymptotic order parameter of the stochastic Kuramoto model. (English) Zbl 1367.39009
Reviewer: Peter Massopust (München)
The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications. (English) Zbl 1426.33015
Functional inequalities for the Wright functions. (English) Zbl 1364.33010
Reviewer: Thomas Ernst (Uppsala)
Modified Dini functions: monotonicity patterns and functional inequalities. (English) Zbl 1399.39055
Turán-type inequalities for some lommel functions of the first kind. (English) Zbl 1362.33007
Reviewer: Thomas Ernst (Uppsala)
Turán type inequalities for confluent hypergeometric functions of the second kind. (English) Zbl 1374.33010
Reviewer: P. K. Banerji (Jodhpur)
Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions. (English) Zbl 1351.33007
MSC:
33C15
Bounds for the product of modified Bessel functions. (English) Zbl 1356.33003
Reviewer: M. Abdessadek Saib (Tebessa)
On the log-concavity of the fractional integral of the sine function. (English) Zbl 1353.33004
Reviewer: Chrysoula G. Kokologiannaki (Patras)
On monotonicity of ratios of some hypergeometric functions. (Russian. English summary) Zbl 1344.33005
Turán determinants of Bessel functions. (English) Zbl 1304.33003
Reviewer: Richard B. Paris (Dundee)
Weighted Turán type inequality for rational functions with prescribed poles. (English) Zbl 1294.41007
Functional inequalities for the Bickley function. (English) Zbl 1304.39027
Reviewer: Gian Luigi Forti (Milano)
Some properties of a hypergeometric function which appear in an approximation problem. (English) Zbl 1281.26010
Turán type inequalities for \(q\)-hypergeometric functions. (English) Zbl 1281.33005
Reviewer: Peter Massopust (München)
Turán type inequalities for Tricomi confluent hypergeometric functions. (English) Zbl 1273.33006
Reviewer: Luan Ozelim (Brasilia)
On Turán type inequalities for modified Bessel functions. (English) Zbl 1272.33005
Reviewer: Richard B. Paris (Dundee)
On bounds for solutions of monotonic first-order difference-differential systems. (English) Zbl 1278.34037
Functional inequalities for the incomplete gamma function. (English) Zbl 1231.33003
Reviewer: József Sándor (Cluj-Napoca)
Functional inequalities for modified Bessel functions. (English) Zbl 1237.39023
Reviewer: Gian Luigi Forti (Milano)
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. (English) Zbl 1218.33001
Bounds for ratios of modified Bessel functions and associated Turán-type inequalities. (English) Zbl 1207.33009
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Turán type inequalities for modified Bessel functions. (English) Zbl 1206.33007
Reviewer: Juri M. Rappoport (Moskva)
Inequality of the Turán type for trigonometric polynomials and conjugate trigonometric polynomials in \(L_0\). (Russian, English) Zbl 1224.42001
Ukr. Mat. Zh. 61, No. 7, 986-994 (2009); translation in Ukr. Math. J. 61, No. 7, 1169-1179 (2009).
The Turán-type inequalities for complex polynomials in \(L_{0}\)-metrics. (English. Russian original) Zbl 1158.41303
Russ. Math. 52, No. 5, 88-94 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 101-108 (2008).
Functional inequalities involving Bessel and modified Bessel functions of the first kind. (English) Zbl 1152.33304
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Mills’ ratio: Monotonicity patterns and functional inequalities. (English) Zbl 1138.60022
MSC:
60E15
Inequalities and Turánians for some special functions. (English) Zbl 1127.26011
Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 422-431 (2007).
Reviewer: Adem Kilicman (Mengabang Telipot)
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