NEW APPROACH TO NESTED FUNCTIONS, SOME INEQUALITIES AND NEW RESULTS

Seyyed Hossein Jafari Petroudi; Choonkil Park; Arsalan Hojjat Ansari

NEW APPROACH TO NESTED FUNCTIONS, SOME INEQUALITIES AND NEW RESULTS

Seyyed Hossein Jafari Petroudi
, Choonkil Park
, Arsalan Hojjat Ansari

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This work focuses on H and T nested functions T_pj and H_pj . We define particular nested functions based on the nested functions T_pj and H_pj and study peculiar properties of them. We propose some identities and prove important trigonometric and hyperbolic inequalities relating to these nested functions. In order to highlight the results, we give several examples.

Original language	English
Pages (from-to)	49-60
Number of pages	12
Journal	Turkish Journal of Inequalities
Volume	9
Issue number	1
Publication status	Published - 2025
Externally published	Yes

Keywords

Inequality
Mittag-Leffler functions
Nested Functions

Cite this

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title = "NEW APPROACH TO NESTED FUNCTIONS, SOME INEQUALITIES AND NEW RESULTS",

abstract = "This work focuses on H and T nested functions Tpj and Hpj . We define particular nested functions based on the nested functions Tpj and Hpj and study peculiar properties of them. We propose some identities and prove important trigonometric and hyperbolic inequalities relating to these nested functions. In order to highlight the results, we give several examples.",

keywords = "Inequality, Mittag-Leffler functions, Nested Functions",

author = "Petroudi, \{Seyyed Hossein Jafari\} and Choonkil Park and Ansari, \{Arsalan Hojjat\}",

year = "2025",

language = "English",

volume = "9",

pages = "49--60",

journal = "Turkish Journal of Inequalities",

issn = "2602-4187",

publisher = "Erhan SET",

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T1 - NEW APPROACH TO NESTED FUNCTIONS, SOME INEQUALITIES AND NEW RESULTS

AU - Petroudi, Seyyed Hossein Jafari

AU - Park, Choonkil

AU - Ansari, Arsalan Hojjat

PY - 2025

Y1 - 2025

N2 - This work focuses on H and T nested functions Tpj and Hpj . We define particular nested functions based on the nested functions Tpj and Hpj and study peculiar properties of them. We propose some identities and prove important trigonometric and hyperbolic inequalities relating to these nested functions. In order to highlight the results, we give several examples.

AB - This work focuses on H and T nested functions Tpj and Hpj . We define particular nested functions based on the nested functions Tpj and Hpj and study peculiar properties of them. We propose some identities and prove important trigonometric and hyperbolic inequalities relating to these nested functions. In order to highlight the results, we give several examples.

KW - Inequality

KW - Mittag-Leffler functions

KW - Nested Functions

UR - https://www.scopus.com/pages/publications/105008793769

M3 - Article

AN - SCOPUS:105008793769

SN - 2602-4187

VL - 9

SP - 49

EP - 60

JO - Turkish Journal of Inequalities

JF - Turkish Journal of Inequalities

IS - 1

ER -

NEW APPROACH TO NESTED FUNCTIONS, SOME INEQUALITIES AND NEW RESULTS

Abstract

Keywords

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