Generalized Jensen‐Mercer Inequality for Functions with Nondecreasing Increments
In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al. has stated an integral version of Niezgoda’s result for convex functions.
Asif R. Khan +2 more
wiley +1 more source
Generalized Steffensen Type Inequalities Involving Convex Functions
In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at point c” are derived and as a consequence inequalities involving the class of convex functions are obtained. Moreover, linear functionals from the difference of the right‐ and left‐hand side of the obtained generalized inequalities are ...
Josip Pečarić +2 more
wiley +1 more source
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions [PDF]
In this paper we define new means of Cauchy's type using some recently obtained results that refine the Jensen-Steffensen-Boas inequality for convex and superquadratic functions. Applying so called exp-convex method we interpret results in the form of exponentially convex or (as a special case) logarithmically convex functions.
Abramovich, Shoshana +3 more
openaire +3 more sources
Improvements of Jensen‐Type Inequalities for Diamond‐α Integrals
We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left‐hand side and the right‐hand ...
Rabia Bibi +3 more
wiley +1 more source
Reverses of the Jensen‐Type Inequalities for Signed Measures
In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen′s inequality and its reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left‐hand and the right‐hand ...
Rozarija Jakšić +3 more
wiley +1 more source
On Hölder and Minkowski Type Inequalities
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +3 more
wiley +1 more source
Determination of Novel Estimations for the Slater Difference and Applications
The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan +6 more
wiley +1 more source
On some extensions of Hardy’s inequality
We present in this paper some new integral inequalities which are related to Hardy′s inequality, thus bringing into sharp focus some of the earlier results of the author.
Christopher O. Imoru
wiley +1 more source
Interpolation polynomials and derived inequalities for the higher order convex functions
U disertaciji su promatrani Lidstoneovi i Hermiteovi interpolacijski polinomi te Eulerovi integralni identiteti koji proširuju dobro poznatu formulu za razvoj funkcije preko Bernoullijevih polinoma danu u [31].
Aras-Gazić, Gorana
core +2 more sources
Gender and metadiscourse in British and Saudi newspaper column writing: male/female and native/non-native differences in language use [PDF]
The topic of gender differences has proved to be a popular line of inquiry for researchers for decades, and the recent growing interest in the pervasive phenomenon of metadiscourse makes it a major domain in the research of discourse analysis and corpus ...
Alsubhi, Aeshah Saadi
core

