ON LEVINSON'S INEQUALITY

1989 ◽  
Vol 15 (2) ◽  
pp. 710 ◽  
Author(s):  
Pečarić
Keyword(s):  
Levinson’S Inequality

scholarly journals Some mappings related to Levinson’s inequality for Hilbert space operators

Filomat ◽  
2017 ◽  
Vol 31 (7) ◽  
pp. 1995-2009 ◽  
Author(s):  
Jadranka Micic ◽  
Josip Pecaric
Keyword(s):  
Hilbert Space ◽  
Operator Inequality ◽  
Jensen Inequality ◽  
Hilbert Space Operators ◽  
Levinson’S Inequality

We observe properties of some mappings related to the Davis-Choi-Jensen inequality for Hilbert space operators. Using these results, we observe properties of some mappings related to Levinson?s operator inequality. Consequently, we obtain several refinements for each of these inequalities.

scholarly journals Generalized Levinson's inequality and exponential convexity

2015 ◽  
Vol 35 (3) ◽  
pp. 397 ◽  
Author(s):  
Josip Pečarić ◽  
Marjan Praljak ◽  
Alfred Witkowski
Keyword(s):  
Exponential Convexity ◽  
Levinson’S Inequality

scholarly journals A monotonic refinement of Levinson’s inequality

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Julije Jakšetić ◽  
Josip Pečarić ◽  
Marjan Praljak
Keyword(s):  
Levinson’S Inequality

scholarly journals The generalised Hadamard inequality, g-convexity and functional Stolarsky means

2003 ◽  
Vol 68 (2) ◽  
pp. 303-316 ◽  
Author(s):  
E. Neuman ◽  
C. E. M. Pearce ◽  
J. Pečarić ◽  
V. Šimić
Keyword(s):  
Convex Functions ◽  
Hadamard Inequality ◽  
Levinson’S Inequality ◽  
Stolarsky Means

We explore the role of weighted functional Stolarsky means in providing bounds in generalised Hadamard-type inequalities for g-convex functions. Refinements are given for Levinson's inequality and the generalised Hadamard inequality. Applications are made to multivariate weighted functional Stolarsky means.

scholarly journals Levinson's inequality for Hilbert space operators

2015 ◽  
pp. 1271-1285
Author(s):  
Jadranka Mić ć Hot ◽  
Josip Pečarić ◽  
Marjan Praljak
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Operators ◽  
Levinson’S Inequality

scholarly journals On Levinson's inequality involving averages of 3-convex functions

2020 ◽  
pp. 45-45
Author(s):  
Ana Vukelic
Keyword(s):  
Convex Functions ◽  
Divided Difference ◽  
Higher Order ◽  
Cauchy Type ◽  
Linear Functionals ◽  
New Family ◽  
Exponentially Convex Functions ◽  
Levinson’S Inequality ◽  
Favard’S Inequality ◽  
New Inequalities

By using the Levinson inequality we give the extension for 3-convex functions of Wulbert's result from Favard's Inequality on Average Values of Convex Functions, Math. Comput. Model. 37 (2003), 1383{1391. Also, we obtain inequalities with divided differences, and as a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with these new inequalities.

scholarly journals Generalization of Levinson's inequality

2015 ◽  
pp. 571-586 ◽  
Author(s):  
Imran Abbas Baloch ◽  
Josip Pečarić ◽  
Marjan Praljak
Keyword(s):  
Levinson’S Inequality
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