Results 51 to 60 of about 252 (113)

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

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +1 more source

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose ...
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad   +4 more
doaj   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

A Fractal Approach to Hermite–Hadamard Type Inequalities via Generalized Beta Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The main aim of this manuscript is to explore the connection between fractal geometry and convexity, highlighting the mathematical appeal of fractals. Using the beta function, we introduce a new class of generalized Hermite–Hadamard (HH) type inequalities.
Saad Ihsan Butt, Muhammad Mehtab, Youngsoo Seol, Mohammad W. Alomari   +3 more
wiley   +1 more source

Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

Boundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir   +3 more
doaj   +1 more source

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

Advances in Difference Equations, 2020
In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches.
Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir, Yu-Ming Chu   +4 more
doaj   +1 more source

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail, Wilfredo Urbina   +8 more
wiley   +1 more source

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +1 more source

Nonlinear spectral calculus and super-expanders [PDF]

, 2013
Nonlinear spectral gaps with respect to uniformly convex normed spaces are shown to satisfy a spectral calculus inequality that establishes their decay along Cesaro averages. Nonlinear spectral gaps of graphs are also shown to behave sub-multiplicatively
A. A. Borovkov, A. Bonami, A. Lubotzky, A. Lubotzky, A. Naor, A. Naor, A. Naor, A. Naor, A. Naor, A. Naor, Assaf Naor, B. Maurey, B. Maurey, E. Guentner, E. Rozenman, F. Chung, F. J. MacWilliams, G. A. Margulis, G. Kasparov, G. Pisier, G. Pisier, G. Pisier, G. Pisier, G. Pisier, G. Yu, J. B. Garnett, J. Bourgain, J. Lindenstrauss, J. Lindenstrauss, J. Matoušek, J. Roe, K. Ball, K. Ball, M. Gromov, M. Gromov, M. Gromov, M. Ledoux, M. Mendel, M. Mendel, M. Paluszyński, M. R. Bridson, Manor Mendel, N. Alon, N. Alon, N. J. Kalton, N. J. Kalton, N. Linial, N. Ozawa, O. Reingold, O. Reingold, P. Wojtaszczyk, P.-A. Cherix, P.-A. Meyer, R. A. Macías, R. C. James, R. C. James, R. C. James, S. Hoory, S. Khot, T. Figiel, T. Figiel, U. Bader, V. D. Milman, V. Lafforgue, V. Lafforgue, V. Lafforgue, W. Beckner, Y. Bartal, Y. Rabinovich   +68 more
core   +6 more sources