Results 21 to 30 of about 468,072 (97)

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type inequalities.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Ram N. Mohapatra   +2 more
wiley   +1 more source

Bounds for the Jensen Gap in terms of Power Means with Applications

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
Jensen’s and its related inequalities have attracted the attention of several mathematicians due to the fact that Jensen’s inequality has numerous applications in almost all disciplines of mathematics and in other fields of science. In this article, we propose new bounds for the difference of two sides of Jensen’s inequality in terms of power means. An
Xuexiao You, Muhammad Adil Khan, Hamid Reza Moradi, Muhammad Arif   +3 more
wiley   +1 more source

Steffensen Type Inequalites for Convex Functions on Borel σ-Algebra

Mathematics, 2021
In the paper, we prove Steffensen type inequalities for positive finite measures by using functions which are convex in point. Further, we prove Steffensen type inequalities on Borel σ-algebra for the function of the form f/h which is convex in point. We
Ksenija Smoljak Kalamir
doaj   +1 more source

Generalization of Steffensen's inequality for higher order convex function involving extensions of montgomery identities on time scales

Applied Mathematics in Science and Engineering, 2023
Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan, Ammara Nosheen, Sumaiya Malik, Muhammad Kashif, Rostin Matendo Mabela   +4 more
doaj   +1 more source

Note on an Iyengar type inequality [PDF]

, 2006
Using Hayashi’s inequality, an Iyengar type inequality for functions with bounded second derivative is obtained. This result improves a similar result from [N. Elezović, J. Pečarić, Steffensen’s inequality and estimates of error in trapezoidal rule, Appl.
Pečarić, J., Franjić, I., Perić, I.
core   +1 more source

Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative [PDF]

, 2013
The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces.
Yonghui Ling, Xiubin Xu, Shaohua Yu
core   +1 more source

Generalizations of Steffensen's inequality via Fink's identity and related results II [PDF]

, 2015
We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given.
Pecaric, Josip, Perusic Pribanic, Anamarija, Vukelic, Ana   +2 more
core   +1 more source

Exploring Parents' Values in Healthcare Decision‐Making for Rare Genetic Neurodevelopmental Disorders: A Qualitative Study to Inform Guideline Development

Journal of Intellectual Disability Research, Volume 70, Issue 9, Page 913-922, September 2026.
ABSTRACT Background Healthcare decision‐making for individuals with rare genetic neurodevelopmental disorders associated with intellectual disabilities can be complex and value‐laden, in which parents often play a central role. To ensure that clinical practice guideline recommendations align with the perspectives of parents, it is essential to ...
Mirthe J. Klein Haneveld, Louise Cox, Petri J. C. M. Embregts, Alistair R. Niemeijer, Martina C. Cornel, Charlotte M. W. Gaasterland, Agnies M. van Eeghen   +6 more
wiley   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

Communications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

Systems of reciprocity in human–ocean relationships: Across time, place, language and culture

People and Nature, Volume 8, Issue 6, Page 1660-1675, June 2026.
Abstract In the face of large‐scale marine environmental challenges, solutions that meaningfully capture the complexity of socio‐cultural and economic factors contributing to such issues—and their solutions—are urgently needed. This scoping review explores examples of reciprocity in human–ocean relationships to inform the conceptual underpinning and ...
Kianna M. Gallagher, Rachel Kelly, Claire Konkes, Gretta T. Pecl   +3 more
wiley   +1 more source