Results 61 to 70 of about 486,597 (163)

Some new results on the Fejér and Hermite-Hadamard inequalities

, 2013
The Hermite-Hadamard inequality and its generalization, the Fejér inequality, have many applications. A simple application is to approximate the definite integral {equation presented} if the function f is convex.
Ngô Q.-A., Vu Nhat, Huy
core   +1 more source

Strongly M_φM_ψ-convex functions, the Hermite-Hadamard-Fejér inequality and related results [PDF]

, 2023
We present Hermite-Hadamard-Fejér type inequalities for strongly MφMψ-convex functions.
Bombardelli, Mea, Varošanec, Sanja
core   +1 more source

Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

Mathematics
In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
doaj   +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

Generalizations of some Integral Inequalities for Fractional Integrals

Annales Mathematicae Silesianae, 2018
In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
doaj   +1 more source

Some New Hermite–Hadamard–Type Inequalities Using the Erdélyi–Kober Fractional Integral Operator for Mappings Defined on Harmonic Sets With Applications to Error Estimates of Numerical Integration Formulas

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki, Waqar Afzal, Najla M. Aloraini, Ahmad Albaity, Joshua Kiddy K. Asamoah, Smritijit Sen   +5 more
wiley   +1 more source

On Fejér Type Inequalities For Products Two Convex Functions [PDF]

, 2020
In this paper, we first obtain some new Fejér type inequalities for products of two convex mappings. Moreover, by applying these inequalities for Riemann-Liouville fractional integrals, we establish some Fejér type inequalities involving Riemann ...
Budak, Hüseyin, Bakış, Yonca, Budak, H., Bakiş, Y., Bakis, Yonca   +4 more
core   +1 more source

Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

, 2015
In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
core  

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +1 more source

A note on Dirichlet and Fejér kernels [PDF]

, 2007
We exhibit a trigonometric identity wich implies a link between the kernels of Dirichlet and ...
Sergio Vidal Beltrán, Vidal Beltrán, Sergio, Yalja Montiel, Jesús, Jesús Yalja Montiel, López Bonilla, José, José López-Bonilla, López-Bonilla, José   +6 more
core   +1 more source