Results 21 to 30 of about 66 (60)

Generalized Steffensen Type Inequalities Involving Convex Functions

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
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, Ksenija Smoljak Kalamir, Hugo Leiva   +2 more
wiley   +1 more source

A variant of Jensen–Steffensen's inequality and quasi-arithmetic means

Journal of Mathematical Analysis and Applications, 2005
A variant of Jensen-Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen-Steffensen's inequality are established. Several inequalities involving more than two monotonic functions and generalized quasi-arithmetic means with not only positive weights are proved.
Abramovich, S., Klaričić Bakula, M., Matić, M., Pečarić, J.   +3 more
openaire   +3 more sources

Improvements of Jensen‐Type Inequalities for Diamond‐α Integrals

International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014
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, Josip Pečarić, Mirna Rodić Lipanović, Jan L. Cieśliński   +3 more
wiley   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source

Reverses of the Jensen‐Type Inequalities for Signed Measures

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
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, Josip Pečarić, Mirna Rodić Lipanović, Shawn X. Wang   +3 more
wiley   +1 more source

On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions [PDF]

Journal of Mathematical Inequalities, 2011
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, Farid, Ghulam, Ivelić, Slavica, Pečarić, Josip   +3 more
openaire   +3 more sources

Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously.
Khaled Aldwoah, Ammara Nosheen, Faez A. Alqarni, Khuram Ali Khan, Masud Ahmad, Rostin M. Mabela, Mohammad W. Alomari   +6 more
wiley   +1 more source

On Hölder and Minkowski Type Inequalities

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
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, Ljiljanka Kvesić, Josip Pečarić, Graziano Crasta   +3 more
wiley   +1 more source

Determination of Novel Estimations for the Slater Difference and Applications

Complexity, Volume 2024, Issue 1, 2024.
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, Hidayat Ullah, Tareq Saeed, Zaid M. M. M. Sayed, Salha Alshaikey, Emad E. Mahmoud, Daniel Maria Busiello   +6 more
wiley   +1 more source

On some extensions of Hardy’s inequality

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 165-171, 1985., 1984
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